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Finding the Fourth Proportional to 4,612.92, 6,922.08 and 1,691.43

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Solution

The fourth proportional to 4,612.92, 6,922.08 and 1,691.43 is: 2,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.92 : 6,922.08 = 1,691.43 : x
  2. Step 2: Convert to fraction form
    4,612.92/6,922.08 = 1,691.43/x
  3. Step 3: Cross multiply
    4,612.92x = 6,922.08 × 1,691.43
  4. Step 4: Simplify right side
    4,612.92x = 11,708,213.77
  5. Step 5: Solve for x
    x = 11,708,213.77/4,612.92
  6. Step 6: Final answer
    x = 2,538.14

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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.