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Finding the Fourth Proportional to 2,996.72, 4,131.78 and 2,463.74

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Solution

The fourth proportional to 2,996.72, 4,131.78 and 2,463.74 is: 3,396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.72 : 4,131.78 = 2,463.74 : x
  2. Step 2: Convert to fraction form
    2,996.72/4,131.78 = 2,463.74/x
  3. Step 3: Cross multiply
    2,996.72x = 4,131.78 × 2,463.74
  4. Step 4: Simplify right side
    2,996.72x = 10,179,631.66
  5. Step 5: Solve for x
    x = 10,179,631.66/2,996.72
  6. Step 6: Final answer
    x = 3,396.92

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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.