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Finding the Fourth Proportional to 3,154.92, 4,732.37 and 1,074.97

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Solution

The fourth proportional to 3,154.92, 4,732.37 and 1,074.97 is: 1,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.92 : 4,732.37 = 1,074.97 : x
  2. Step 2: Convert to fraction form
    3,154.92/4,732.37 = 1,074.97/x
  3. Step 3: Cross multiply
    3,154.92x = 4,732.37 × 1,074.97
  4. Step 4: Simplify right side
    3,154.92x = 5,087,158.47
  5. Step 5: Solve for x
    x = 5,087,158.47/3,154.92
  6. Step 6: Final answer
    x = 1,612.46

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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.