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Finding the Fourth Proportional to 2,997.62, 4,494.78 and 1,242.14

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Solution

The fourth proportional to 2,997.62, 4,494.78 and 1,242.14 is: 1,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.62 : 4,494.78 = 1,242.14 : x
  2. Step 2: Convert to fraction form
    2,997.62/4,494.78 = 1,242.14/x
  3. Step 3: Cross multiply
    2,997.62x = 4,494.78 × 1,242.14
  4. Step 4: Simplify right side
    2,997.62x = 5,583,146.03
  5. Step 5: Solve for x
    x = 5,583,146.03/2,997.62
  6. Step 6: Final answer
    x = 1,862.53

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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.