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Finding the Fourth Proportional to 1,747.91, 2,412.15 and 962

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Solution

The fourth proportional to 1,747.91, 2,412.15 and 962 is: 1,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.91 : 2,412.15 = 962 : x
  2. Step 2: Convert to fraction form
    1,747.91/2,412.15 = 962/x
  3. Step 3: Cross multiply
    1,747.91x = 2,412.15 × 962
  4. Step 4: Simplify right side
    1,747.91x = 2,320,488.30
  5. Step 5: Solve for x
    x = 2,320,488.30/1,747.91
  6. Step 6: Final answer
    x = 1,327.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.