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Finding the Fourth Proportional to 3,301.08, 4,951.14 and 992.52

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Solution

The fourth proportional to 3,301.08, 4,951.14 and 992.52 is: 1,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.08 : 4,951.14 = 992.52 : x
  2. Step 2: Convert to fraction form
    3,301.08/4,951.14 = 992.52/x
  3. Step 3: Cross multiply
    3,301.08x = 4,951.14 × 992.52
  4. Step 4: Simplify right side
    3,301.08x = 4,914,105.47
  5. Step 5: Solve for x
    x = 4,914,105.47/3,301.08
  6. Step 6: Final answer
    x = 1,488.64

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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.