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Finding the Fourth Proportional to 2,754.78, 4,132.17 and 1,599.90

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Solution

The fourth proportional to 2,754.78, 4,132.17 and 1,599.90 is: 2,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.78 : 4,132.17 = 1,599.90 : x
  2. Step 2: Convert to fraction form
    2,754.78/4,132.17 = 1,599.90/x
  3. Step 3: Cross multiply
    2,754.78x = 4,132.17 × 1,599.90
  4. Step 4: Simplify right side
    2,754.78x = 6,611,058.78
  5. Step 5: Solve for x
    x = 6,611,058.78/2,754.78
  6. Step 6: Final answer
    x = 2,399.85

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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.