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Finding the Fourth Proportional to 2,663.58, 3,989.19 and 2,571.30

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Solution

The fourth proportional to 2,663.58, 3,989.19 and 2,571.30 is: 3,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.58 : 3,989.19 = 2,571.30 : x
  2. Step 2: Convert to fraction form
    2,663.58/3,989.19 = 2,571.30/x
  3. Step 3: Cross multiply
    2,663.58x = 3,989.19 × 2,571.30
  4. Step 4: Simplify right side
    2,663.58x = 10,257,404.25
  5. Step 5: Solve for x
    x = 10,257,404.25/2,663.58
  6. Step 6: Final answer
    x = 3,850.98

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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.