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Finding the Fourth Proportional to 2,585.40, 3,878.10 and 2,001.27

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Solution

The fourth proportional to 2,585.40, 3,878.10 and 2,001.27 is: 3,001.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.40 : 3,878.10 = 2,001.27 : x
  2. Step 2: Convert to fraction form
    2,585.40/3,878.10 = 2,001.27/x
  3. Step 3: Cross multiply
    2,585.40x = 3,878.10 × 2,001.27
  4. Step 4: Simplify right side
    2,585.40x = 7,761,125.19
  5. Step 5: Solve for x
    x = 7,761,125.19/2,585.40
  6. Step 6: Final answer
    x = 3,001.91

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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.