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Finding the Fourth Proportional to 3,049.71, 4,197.65 and 2,163.98

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Solution

The fourth proportional to 3,049.71, 4,197.65 and 2,163.98 is: 2,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.71 : 4,197.65 = 2,163.98 : x
  2. Step 2: Convert to fraction form
    3,049.71/4,197.65 = 2,163.98/x
  3. Step 3: Cross multiply
    3,049.71x = 4,197.65 × 2,163.98
  4. Step 4: Simplify right side
    3,049.71x = 9,083,598.84
  5. Step 5: Solve for x
    x = 9,083,598.84/3,049.71
  6. Step 6: Final answer
    x = 2,978.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.