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Finding the Fourth Proportional to 3,154.61, 4,354.46 and 2,163.17

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Solution

The fourth proportional to 3,154.61, 4,354.46 and 2,163.17 is: 2,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.61 : 4,354.46 = 2,163.17 : x
  2. Step 2: Convert to fraction form
    3,154.61/4,354.46 = 2,163.17/x
  3. Step 3: Cross multiply
    3,154.61x = 4,354.46 × 2,163.17
  4. Step 4: Simplify right side
    3,154.61x = 9,419,445.42
  5. Step 5: Solve for x
    x = 9,419,445.42/3,154.61
  6. Step 6: Final answer
    x = 2,985.93

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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.