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Finding the Fourth Proportional to 2,354.34, 3,531.24 and 966.36

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Solution

The fourth proportional to 2,354.34, 3,531.24 and 966.36 is: 1,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.34 : 3,531.24 = 966.36 : x
  2. Step 2: Convert to fraction form
    2,354.34/3,531.24 = 966.36/x
  3. Step 3: Cross multiply
    2,354.34x = 3,531.24 × 966.36
  4. Step 4: Simplify right side
    2,354.34x = 3,412,449.09
  5. Step 5: Solve for x
    x = 3,412,449.09/2,354.34
  6. Step 6: Final answer
    x = 1,449.43

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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.