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Finding the Fourth Proportional to 2,697.20, 4,046.78 and 942.47

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Solution

The fourth proportional to 2,697.20, 4,046.78 and 942.47 is: 1,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.20 : 4,046.78 = 942.47 : x
  2. Step 2: Convert to fraction form
    2,697.20/4,046.78 = 942.47/x
  3. Step 3: Cross multiply
    2,697.20x = 4,046.78 × 942.47
  4. Step 4: Simplify right side
    2,697.20x = 3,813,966.04
  5. Step 5: Solve for x
    x = 3,813,966.04/2,697.20
  6. Step 6: Final answer
    x = 1,414.04

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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.