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Finding the Fourth Proportional to 1,645.62, 2,468.92 and 491.38

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Solution

The fourth proportional to 1,645.62, 2,468.92 and 491.38 is: 737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.62 : 2,468.92 = 491.38 : x
  2. Step 2: Convert to fraction form
    1,645.62/2,468.92 = 491.38/x
  3. Step 3: Cross multiply
    1,645.62x = 2,468.92 × 491.38
  4. Step 4: Simplify right side
    1,645.62x = 1,213,177.91
  5. Step 5: Solve for x
    x = 1,213,177.91/1,645.62
  6. Step 6: Final answer
    x = 737.22

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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.