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Finding the Fourth Proportional to 2,077.26, 3,115.78 and 616.20

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Solution

The fourth proportional to 2,077.26, 3,115.78 and 616.20 is: 924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.26 : 3,115.78 = 616.20 : x
  2. Step 2: Convert to fraction form
    2,077.26/3,115.78 = 616.20/x
  3. Step 3: Cross multiply
    2,077.26x = 3,115.78 × 616.20
  4. Step 4: Simplify right side
    2,077.26x = 1,919,943.64
  5. Step 5: Solve for x
    x = 1,919,943.64/2,077.26
  6. Step 6: Final answer
    x = 924.27

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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.