Home / 2,471.04-3,704.16-826.74

Finding the Fourth Proportional to 2,471.04, 3,704.16 and 826.74

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Solution

The fourth proportional to 2,471.04, 3,704.16 and 826.74 is: 1,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.04 : 3,704.16 = 826.74 : x
  2. Step 2: Convert to fraction form
    2,471.04/3,704.16 = 826.74/x
  3. Step 3: Cross multiply
    2,471.04x = 3,704.16 × 826.74
  4. Step 4: Simplify right side
    2,471.04x = 3,062,377.24
  5. Step 5: Solve for x
    x = 3,062,377.24/2,471.04
  6. Step 6: Final answer
    x = 1,239.31

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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.