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Finding the Fourth Proportional to 1,614.34, 2,417.82 and 963.73

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Solution

The fourth proportional to 1,614.34, 2,417.82 and 963.73 is: 1,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.34 : 2,417.82 = 963.73 : x
  2. Step 2: Convert to fraction form
    1,614.34/2,417.82 = 963.73/x
  3. Step 3: Cross multiply
    1,614.34x = 2,417.82 × 963.73
  4. Step 4: Simplify right side
    1,614.34x = 2,330,125.67
  5. Step 5: Solve for x
    x = 2,330,125.67/1,614.34
  6. Step 6: Final answer
    x = 1,443.39

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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.