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Finding the Fourth Proportional to 2,491.41, 3,737.72 and 931.49

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Solution

The fourth proportional to 2,491.41, 3,737.72 and 931.49 is: 1,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.41 : 3,737.72 = 931.49 : x
  2. Step 2: Convert to fraction form
    2,491.41/3,737.72 = 931.49/x
  3. Step 3: Cross multiply
    2,491.41x = 3,737.72 × 931.49
  4. Step 4: Simplify right side
    2,491.41x = 3,481,648.80
  5. Step 5: Solve for x
    x = 3,481,648.80/2,491.41
  6. Step 6: Final answer
    x = 1,397.46

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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.