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Finding the Fourth Proportional to 2,046.24, 3,068.52 and 747.39

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Solution

The fourth proportional to 2,046.24, 3,068.52 and 747.39 is: 1,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.24 : 3,068.52 = 747.39 : x
  2. Step 2: Convert to fraction form
    2,046.24/3,068.52 = 747.39/x
  3. Step 3: Cross multiply
    2,046.24x = 3,068.52 × 747.39
  4. Step 4: Simplify right side
    2,046.24x = 2,293,381.16
  5. Step 5: Solve for x
    x = 2,293,381.16/2,046.24
  6. Step 6: Final answer
    x = 1,120.78

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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.