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Finding the Fourth Proportional to 2,491.78, 3,737.62 and 849.47

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Solution

The fourth proportional to 2,491.78, 3,737.62 and 849.47 is: 1,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.78 : 3,737.62 = 849.47 : x
  2. Step 2: Convert to fraction form
    2,491.78/3,737.62 = 849.47/x
  3. Step 3: Cross multiply
    2,491.78x = 3,737.62 × 849.47
  4. Step 4: Simplify right side
    2,491.78x = 3,174,996.06
  5. Step 5: Solve for x
    x = 3,174,996.06/2,491.78
  6. Step 6: Final answer
    x = 1,274.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.