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Finding the Fourth Proportional to 1,372.46, 2,059.59 and 1,006.13

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Solution

The fourth proportional to 1,372.46, 2,059.59 and 1,006.13 is: 1,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.46 : 2,059.59 = 1,006.13 : x
  2. Step 2: Convert to fraction form
    1,372.46/2,059.59 = 1,006.13/x
  3. Step 3: Cross multiply
    1,372.46x = 2,059.59 × 1,006.13
  4. Step 4: Simplify right side
    1,372.46x = 2,072,215.29
  5. Step 5: Solve for x
    x = 2,072,215.29/1,372.46
  6. Step 6: Final answer
    x = 1,509.85

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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.