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Finding the Fourth Proportional to 1,843.85, 2,766.31 and 545.35

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Solution

The fourth proportional to 1,843.85, 2,766.31 and 545.35 is: 818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.85 : 2,766.31 = 545.35 : x
  2. Step 2: Convert to fraction form
    1,843.85/2,766.31 = 545.35/x
  3. Step 3: Cross multiply
    1,843.85x = 2,766.31 × 545.35
  4. Step 4: Simplify right side
    1,843.85x = 1,508,597.52
  5. Step 5: Solve for x
    x = 1,508,597.52/1,843.85
  6. Step 6: Final answer
    x = 818.18

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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.