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Finding the Fourth Proportional to 2,585.43, 3,878.33 and 2,279.43

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Solution

The fourth proportional to 2,585.43, 3,878.33 and 2,279.43 is: 3,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.43 : 3,878.33 = 2,279.43 : x
  2. Step 2: Convert to fraction form
    2,585.43/3,878.33 = 2,279.43/x
  3. Step 3: Cross multiply
    2,585.43x = 3,878.33 × 2,279.43
  4. Step 4: Simplify right side
    2,585.43x = 8,840,370.35
  5. Step 5: Solve for x
    x = 8,840,370.35/2,585.43
  6. Step 6: Final answer
    x = 3,419.30

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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.