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Finding the Fourth Proportional to 1,647.29, 2,472.69 and 1,472.87

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Solution

The fourth proportional to 1,647.29, 2,472.69 and 1,472.87 is: 2,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.29 : 2,472.69 = 1,472.87 : x
  2. Step 2: Convert to fraction form
    1,647.29/2,472.69 = 1,472.87/x
  3. Step 3: Cross multiply
    1,647.29x = 2,472.69 × 1,472.87
  4. Step 4: Simplify right side
    1,647.29x = 3,641,938.56
  5. Step 5: Solve for x
    x = 3,641,938.56/1,647.29
  6. Step 6: Final answer
    x = 2,210.87

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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.