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Finding the Fourth Proportional to 2,656.66, 3,984.99 and 1,628.50

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Solution

The fourth proportional to 2,656.66, 3,984.99 and 1,628.50 is: 2,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.66 : 3,984.99 = 1,628.50 : x
  2. Step 2: Convert to fraction form
    2,656.66/3,984.99 = 1,628.50/x
  3. Step 3: Cross multiply
    2,656.66x = 3,984.99 × 1,628.50
  4. Step 4: Simplify right side
    2,656.66x = 6,489,556.22
  5. Step 5: Solve for x
    x = 6,489,556.22/2,656.66
  6. Step 6: Final answer
    x = 2,442.75

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.