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Finding the Fourth Proportional to 2,600.76, 3,915.84 and 2,294.52

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Solution

The fourth proportional to 2,600.76, 3,915.84 and 2,294.52 is: 3,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.76 : 3,915.84 = 2,294.52 : x
  2. Step 2: Convert to fraction form
    2,600.76/3,915.84 = 2,294.52/x
  3. Step 3: Cross multiply
    2,600.76x = 3,915.84 × 2,294.52
  4. Step 4: Simplify right side
    2,600.76x = 8,984,973.20
  5. Step 5: Solve for x
    x = 8,984,973.20/2,600.76
  6. Step 6: Final answer
    x = 3,454.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.