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Finding the Fourth Proportional to 4,253.06, 6,380.17 and 1,331.60

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Solution

The fourth proportional to 4,253.06, 6,380.17 and 1,331.60 is: 1,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.06 : 6,380.17 = 1,331.60 : x
  2. Step 2: Convert to fraction form
    4,253.06/6,380.17 = 1,331.60/x
  3. Step 3: Cross multiply
    4,253.06x = 6,380.17 × 1,331.60
  4. Step 4: Simplify right side
    4,253.06x = 8,495,799.14
  5. Step 5: Solve for x
    x = 8,495,799.14/4,253.06
  6. Step 6: Final answer
    x = 1,997.57

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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.