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Finding the Fourth Proportional to 2,580.78, 3,875.38 and 2,449.30

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Solution

The fourth proportional to 2,580.78, 3,875.38 and 2,449.30 is: 3,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.78 : 3,875.38 = 2,449.30 : x
  2. Step 2: Convert to fraction form
    2,580.78/3,875.38 = 2,449.30/x
  3. Step 3: Cross multiply
    2,580.78x = 3,875.38 × 2,449.30
  4. Step 4: Simplify right side
    2,580.78x = 9,491,968.23
  5. Step 5: Solve for x
    x = 9,491,968.23/2,580.78
  6. Step 6: Final answer
    x = 3,677.95

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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.