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Finding the Fourth Proportional to 3,073.27, 4,609.33 and 992.66

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Solution

The fourth proportional to 3,073.27, 4,609.33 and 992.66 is: 1,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.27 : 4,609.33 = 992.66 : x
  2. Step 2: Convert to fraction form
    3,073.27/4,609.33 = 992.66/x
  3. Step 3: Cross multiply
    3,073.27x = 4,609.33 × 992.66
  4. Step 4: Simplify right side
    3,073.27x = 4,575,474.78
  5. Step 5: Solve for x
    x = 4,575,474.78/3,073.27
  6. Step 6: Final answer
    x = 1,488.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.