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Finding the Fourth Proportional to 2,587.86, 3,881.97 and 2,283.30

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Solution

The fourth proportional to 2,587.86, 3,881.97 and 2,283.30 is: 3,425.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.86 : 3,881.97 = 2,283.30 : x
  2. Step 2: Convert to fraction form
    2,587.86/3,881.97 = 2,283.30/x
  3. Step 3: Cross multiply
    2,587.86x = 3,881.97 × 2,283.30
  4. Step 4: Simplify right side
    2,587.86x = 8,863,702.10
  5. Step 5: Solve for x
    x = 8,863,702.10/2,587.86
  6. Step 6: Final answer
    x = 3,425.11

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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.