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Finding the Fourth Proportional to 2,997.64, 4,136.61 and 2,002.78

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Solution

The fourth proportional to 2,997.64, 4,136.61 and 2,002.78 is: 2,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.64 : 4,136.61 = 2,002.78 : x
  2. Step 2: Convert to fraction form
    2,997.64/4,136.61 = 2,002.78/x
  3. Step 3: Cross multiply
    2,997.64x = 4,136.61 × 2,002.78
  4. Step 4: Simplify right side
    2,997.64x = 8,284,719.78
  5. Step 5: Solve for x
    x = 8,284,719.78/2,997.64
  6. Step 6: Final answer
    x = 2,763.75

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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.