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Finding the Fourth Proportional to 1,872.80, 2,805.44 and 932.91

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Solution

The fourth proportional to 1,872.80, 2,805.44 and 932.91 is: 1,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.80 : 2,805.44 = 932.91 : x
  2. Step 2: Convert to fraction form
    1,872.80/2,805.44 = 932.91/x
  3. Step 3: Cross multiply
    1,872.80x = 2,805.44 × 932.91
  4. Step 4: Simplify right side
    1,872.80x = 2,617,215.74
  5. Step 5: Solve for x
    x = 2,617,215.74/1,872.80
  6. Step 6: Final answer
    x = 1,397.49

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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.