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Finding the Fourth Proportional to 2,224.76, 3,069.02 and 2,066.44

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Solution

The fourth proportional to 2,224.76, 3,069.02 and 2,066.44 is: 2,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.76 : 3,069.02 = 2,066.44 : x
  2. Step 2: Convert to fraction form
    2,224.76/3,069.02 = 2,066.44/x
  3. Step 3: Cross multiply
    2,224.76x = 3,069.02 × 2,066.44
  4. Step 4: Simplify right side
    2,224.76x = 6,341,945.69
  5. Step 5: Solve for x
    x = 6,341,945.69/2,224.76
  6. Step 6: Final answer
    x = 2,850.62

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.