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Finding the Fourth Proportional to 2,354.06, 3,531.09 and 966.42

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Solution

The fourth proportional to 2,354.06, 3,531.09 and 966.42 is: 1,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.06 : 3,531.09 = 966.42 : x
  2. Step 2: Convert to fraction form
    2,354.06/3,531.09 = 966.42/x
  3. Step 3: Cross multiply
    2,354.06x = 3,531.09 × 966.42
  4. Step 4: Simplify right side
    2,354.06x = 3,412,506.97
  5. Step 5: Solve for x
    x = 3,412,506.97/2,354.06
  6. Step 6: Final answer
    x = 1,449.63

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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.