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Finding the Fourth Proportional to 2,656.42, 3,984.44 and 807.60

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Solution

The fourth proportional to 2,656.42, 3,984.44 and 807.60 is: 1,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.42 : 3,984.44 = 807.60 : x
  2. Step 2: Convert to fraction form
    2,656.42/3,984.44 = 807.60/x
  3. Step 3: Cross multiply
    2,656.42x = 3,984.44 × 807.60
  4. Step 4: Simplify right side
    2,656.42x = 3,217,833.74
  5. Step 5: Solve for x
    x = 3,217,833.74/2,656.42
  6. Step 6: Final answer
    x = 1,211.34

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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.