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Finding the Fourth Proportional to 2,260.20, 3,390.28 and 616.74

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Solution

The fourth proportional to 2,260.20, 3,390.28 and 616.74 is: 925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.20 : 3,390.28 = 616.74 : x
  2. Step 2: Convert to fraction form
    2,260.20/3,390.28 = 616.74/x
  3. Step 3: Cross multiply
    2,260.20x = 3,390.28 × 616.74
  4. Step 4: Simplify right side
    2,260.20x = 2,090,921.29
  5. Step 5: Solve for x
    x = 2,090,921.29/2,260.20
  6. Step 6: Final answer
    x = 925.10

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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.