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Finding the Fourth Proportional to 3,301.40, 4,952.14 and 992.92

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Solution

The fourth proportional to 3,301.40, 4,952.14 and 992.92 is: 1,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.40 : 4,952.14 = 992.92 : x
  2. Step 2: Convert to fraction form
    3,301.40/4,952.14 = 992.92/x
  3. Step 3: Cross multiply
    3,301.40x = 4,952.14 × 992.92
  4. Step 4: Simplify right side
    3,301.40x = 4,917,078.85
  5. Step 5: Solve for x
    x = 4,917,078.85/3,301.40
  6. Step 6: Final answer
    x = 1,489.39

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1.5x scale

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.