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Finding the Fourth Proportional to 2,491.47, 3,737.21 and 849.20

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Solution

The fourth proportional to 2,491.47, 3,737.21 and 849.20 is: 1,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.47 : 3,737.21 = 849.20 : x
  2. Step 2: Convert to fraction form
    2,491.47/3,737.21 = 849.20/x
  3. Step 3: Cross multiply
    2,491.47x = 3,737.21 × 849.20
  4. Step 4: Simplify right side
    2,491.47x = 3,173,615.80
  5. Step 5: Solve for x
    x = 3,173,615.80/2,491.47
  6. Step 6: Final answer
    x = 1,273.79

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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.