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Finding the Fourth Proportional to 2,493.02, 3,738.78 and 849.19

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Solution

The fourth proportional to 2,493.02, 3,738.78 and 849.19 is: 1,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.02 : 3,738.78 = 849.19 : x
  2. Step 2: Convert to fraction form
    2,493.02/3,738.78 = 849.19/x
  3. Step 3: Cross multiply
    2,493.02x = 3,738.78 × 849.19
  4. Step 4: Simplify right side
    2,493.02x = 3,174,934.59
  5. Step 5: Solve for x
    x = 3,174,934.59/2,493.02
  6. Step 6: Final answer
    x = 1,273.53

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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.