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Finding the Fourth Proportional to 2,491.17, 3,738.68 and 932.33

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Solution

The fourth proportional to 2,491.17, 3,738.68 and 932.33 is: 1,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.17 : 3,738.68 = 932.33 : x
  2. Step 2: Convert to fraction form
    2,491.17/3,738.68 = 932.33/x
  3. Step 3: Cross multiply
    2,491.17x = 3,738.68 × 932.33
  4. Step 4: Simplify right side
    2,491.17x = 3,485,660.17
  5. Step 5: Solve for x
    x = 3,485,660.17/2,491.17
  6. Step 6: Final answer
    x = 1,399.21

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1.5x scale

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.