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Finding the Fourth Proportional to 2,996.92, 4,125.76 and 2,249.63

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Solution

The fourth proportional to 2,996.92, 4,125.76 and 2,249.63 is: 3,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.92 : 4,125.76 = 2,249.63 : x
  2. Step 2: Convert to fraction form
    2,996.92/4,125.76 = 2,249.63/x
  3. Step 3: Cross multiply
    2,996.92x = 4,125.76 × 2,249.63
  4. Step 4: Simplify right side
    2,996.92x = 9,281,433.47
  5. Step 5: Solve for x
    x = 9,281,433.47/2,996.92
  6. Step 6: Final answer
    x = 3,096.99

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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.