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Finding the Fourth Proportional to 1,624.55, 2,242.13 and 1,066.64

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Solution

The fourth proportional to 1,624.55, 2,242.13 and 1,066.64 is: 1,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.55 : 2,242.13 = 1,066.64 : x
  2. Step 2: Convert to fraction form
    1,624.55/2,242.13 = 1,066.64/x
  3. Step 3: Cross multiply
    1,624.55x = 2,242.13 × 1,066.64
  4. Step 4: Simplify right side
    1,624.55x = 2,391,545.41
  5. Step 5: Solve for x
    x = 2,391,545.41/1,624.55
  6. Step 6: Final answer
    x = 1,472.13

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