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Finding the Fourth Proportional to 2,114.46, 3,171.78 and 1,292.22

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Solution

The fourth proportional to 2,114.46, 3,171.78 and 1,292.22 is: 1,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.46 : 3,171.78 = 1,292.22 : x
  2. Step 2: Convert to fraction form
    2,114.46/3,171.78 = 1,292.22/x
  3. Step 3: Cross multiply
    2,114.46x = 3,171.78 × 1,292.22
  4. Step 4: Simplify right side
    2,114.46x = 4,098,637.55
  5. Step 5: Solve for x
    x = 4,098,637.55/2,114.46
  6. Step 6: Final answer
    x = 1,938.39

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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.