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Finding the Fourth Proportional to 2,572.29, 3,861.81 and 1,645.38

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Solution

The fourth proportional to 2,572.29, 3,861.81 and 1,645.38 is: 2,470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.29 : 3,861.81 = 1,645.38 : x
  2. Step 2: Convert to fraction form
    2,572.29/3,861.81 = 1,645.38/x
  3. Step 3: Cross multiply
    2,572.29x = 3,861.81 × 1,645.38
  4. Step 4: Simplify right side
    2,572.29x = 6,354,144.94
  5. Step 5: Solve for x
    x = 6,354,144.94/2,572.29
  6. Step 6: Final answer
    x = 2,470.23

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