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Finding the Fourth Proportional to 2,077.68, 3,116.46 and 616.86

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Solution

The fourth proportional to 2,077.68, 3,116.46 and 616.86 is: 925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.68 : 3,116.46 = 616.86 : x
  2. Step 2: Convert to fraction form
    2,077.68/3,116.46 = 616.86/x
  3. Step 3: Cross multiply
    2,077.68x = 3,116.46 × 616.86
  4. Step 4: Simplify right side
    2,077.68x = 1,922,419.52
  5. Step 5: Solve for x
    x = 1,922,419.52/2,077.68
  6. Step 6: Final answer
    x = 925.27

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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.