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Finding the Fourth Proportional to 2,586.78, 3,884.12 and 2,281.20

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Solution

The fourth proportional to 2,586.78, 3,884.12 and 2,281.20 is: 3,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.78 : 3,884.12 = 2,281.20 : x
  2. Step 2: Convert to fraction form
    2,586.78/3,884.12 = 2,281.20/x
  3. Step 3: Cross multiply
    2,586.78x = 3,884.12 × 2,281.20
  4. Step 4: Simplify right side
    2,586.78x = 8,860,454.54
  5. Step 5: Solve for x
    x = 8,860,454.54/2,586.78
  6. Step 6: Final answer
    x = 3,425.28

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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.