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Finding the Fourth Proportional to 2,168.82, 3,253.10 and 1,242.05

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Solution

The fourth proportional to 2,168.82, 3,253.10 and 1,242.05 is: 1,862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.82 : 3,253.10 = 1,242.05 : x
  2. Step 2: Convert to fraction form
    2,168.82/3,253.10 = 1,242.05/x
  3. Step 3: Cross multiply
    2,168.82x = 3,253.10 × 1,242.05
  4. Step 4: Simplify right side
    2,168.82x = 4,040,490.38
  5. Step 5: Solve for x
    x = 4,040,490.38/2,168.82
  6. Step 6: Final answer
    x = 1,862.99

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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.