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Finding the Fourth Proportional to 3,073.12, 4,610.09 and 992.43

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Solution

The fourth proportional to 3,073.12, 4,610.09 and 992.43 is: 1,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.12 : 4,610.09 = 992.43 : x
  2. Step 2: Convert to fraction form
    3,073.12/4,610.09 = 992.43/x
  3. Step 3: Cross multiply
    3,073.12x = 4,610.09 × 992.43
  4. Step 4: Simplify right side
    3,073.12x = 4,575,194.10
  5. Step 5: Solve for x
    x = 4,575,194.10/3,073.12
  6. Step 6: Final answer
    x = 1,488.78

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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.