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Finding the Fourth Proportional to 2,531.40, 3,797.30 and 972.15

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Solution

The fourth proportional to 2,531.40, 3,797.30 and 972.15 is: 1,458.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.40 : 3,797.30 = 972.15 : x
  2. Step 2: Convert to fraction form
    2,531.40/3,797.30 = 972.15/x
  3. Step 3: Cross multiply
    2,531.40x = 3,797.30 × 972.15
  4. Step 4: Simplify right side
    2,531.40x = 3,691,545.20
  5. Step 5: Solve for x
    x = 3,691,545.20/2,531.40
  6. Step 6: Final answer
    x = 1,458.30

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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.