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Finding the Fourth Proportional to 1,382.52, 2,073.96 and 913.56

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Solution

The fourth proportional to 1,382.52, 2,073.96 and 913.56 is: 1,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.52 : 2,073.96 = 913.56 : x
  2. Step 2: Convert to fraction form
    1,382.52/2,073.96 = 913.56/x
  3. Step 3: Cross multiply
    1,382.52x = 2,073.96 × 913.56
  4. Step 4: Simplify right side
    1,382.52x = 1,894,686.90
  5. Step 5: Solve for x
    x = 1,894,686.90/1,382.52
  6. Step 6: Final answer
    x = 1,370.46

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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.