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Finding the Fourth Proportional to 2,077.38, 3,116.07 and 616.68

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Solution

The fourth proportional to 2,077.38, 3,116.07 and 616.68 is: 925.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.38 : 3,116.07 = 616.68 : x
  2. Step 2: Convert to fraction form
    2,077.38/3,116.07 = 616.68/x
  3. Step 3: Cross multiply
    2,077.38x = 3,116.07 × 616.68
  4. Step 4: Simplify right side
    2,077.38x = 1,921,618.05
  5. Step 5: Solve for x
    x = 1,921,618.05/2,077.38
  6. Step 6: Final answer
    x = 925.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.