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Finding the Fourth Proportional to 2,260.22, 3,390.56 and 616.78

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Solution

The fourth proportional to 2,260.22, 3,390.56 and 616.78 is: 925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.22 : 3,390.56 = 616.78 : x
  2. Step 2: Convert to fraction form
    2,260.22/3,390.56 = 616.78/x
  3. Step 3: Cross multiply
    2,260.22x = 3,390.56 × 616.78
  4. Step 4: Simplify right side
    2,260.22x = 2,091,229.60
  5. Step 5: Solve for x
    x = 2,091,229.60/2,260.22
  6. Step 6: Final answer
    x = 925.23

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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.