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Finding the Fourth Proportional to 3,301.20, 4,952.50 and 992.52

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Solution

The fourth proportional to 3,301.20, 4,952.50 and 992.52 is: 1,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.20 : 4,952.50 = 992.52 : x
  2. Step 2: Convert to fraction form
    3,301.20/4,952.50 = 992.52/x
  3. Step 3: Cross multiply
    3,301.20x = 4,952.50 × 992.52
  4. Step 4: Simplify right side
    3,301.20x = 4,915,455.30
  5. Step 5: Solve for x
    x = 4,915,455.30/3,301.20
  6. Step 6: Final answer
    x = 1,488.99

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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.