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Finding the Fourth Proportional to 1,494.26, 2,240.78 and 616.15

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Solution

The fourth proportional to 1,494.26, 2,240.78 and 616.15 is: 923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.26 : 2,240.78 = 616.15 : x
  2. Step 2: Convert to fraction form
    1,494.26/2,240.78 = 616.15/x
  3. Step 3: Cross multiply
    1,494.26x = 2,240.78 × 616.15
  4. Step 4: Simplify right side
    1,494.26x = 1,380,647.91
  5. Step 5: Solve for x
    x = 1,380,647.91/1,494.26
  6. Step 6: Final answer
    x = 923.97

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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.