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Finding the Fourth Proportional to 2,493.18, 3,738.42 and 849.96

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Solution

The fourth proportional to 2,493.18, 3,738.42 and 849.96 is: 1,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.18 : 3,738.42 = 849.96 : x
  2. Step 2: Convert to fraction form
    2,493.18/3,738.42 = 849.96/x
  3. Step 3: Cross multiply
    2,493.18x = 3,738.42 × 849.96
  4. Step 4: Simplify right side
    2,493.18x = 3,177,507.46
  5. Step 5: Solve for x
    x = 3,177,507.46/2,493.18
  6. Step 6: Final answer
    x = 1,274.48

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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.