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Finding the Fourth Proportional to 1,354.34, 1,872.17 and 964.73

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Solution

The fourth proportional to 1,354.34, 1,872.17 and 964.73 is: 1,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.34 : 1,872.17 = 964.73 : x
  2. Step 2: Convert to fraction form
    1,354.34/1,872.17 = 964.73/x
  3. Step 3: Cross multiply
    1,354.34x = 1,872.17 × 964.73
  4. Step 4: Simplify right side
    1,354.34x = 1,806,124.38
  5. Step 5: Solve for x
    x = 1,806,124.38/1,354.34
  6. Step 6: Final answer
    x = 1,333.59

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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.