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Finding the Fourth Proportional to 1,372.56, 2,058.96 and 961.88

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Solution

The fourth proportional to 1,372.56, 2,058.96 and 961.88 is: 1,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.56 : 2,058.96 = 961.88 : x
  2. Step 2: Convert to fraction form
    1,372.56/2,058.96 = 961.88/x
  3. Step 3: Cross multiply
    1,372.56x = 2,058.96 × 961.88
  4. Step 4: Simplify right side
    1,372.56x = 1,980,472.44
  5. Step 5: Solve for x
    x = 1,980,472.44/1,372.56
  6. Step 6: Final answer
    x = 1,442.90

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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.