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Finding the Fourth Proportional to 2,872.92, 4,310.22 and 925.08

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Solution

The fourth proportional to 2,872.92, 4,310.22 and 925.08 is: 1,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.92 : 4,310.22 = 925.08 : x
  2. Step 2: Convert to fraction form
    2,872.92/4,310.22 = 925.08/x
  3. Step 3: Cross multiply
    2,872.92x = 4,310.22 × 925.08
  4. Step 4: Simplify right side
    2,872.92x = 3,987,298.32
  5. Step 5: Solve for x
    x = 3,987,298.32/2,872.92
  6. Step 6: Final answer
    x = 1,387.89

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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.