Home / 2,471.24-3,704.10-1,498

Finding the Fourth Proportional to 2,471.24, 3,704.10 and 1,498

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Solution

The fourth proportional to 2,471.24, 3,704.10 and 1,498 is: 2,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.24 : 3,704.10 = 1,498 : x
  2. Step 2: Convert to fraction form
    2,471.24/3,704.10 = 1,498/x
  3. Step 3: Cross multiply
    2,471.24x = 3,704.10 × 1,498
  4. Step 4: Simplify right side
    2,471.24x = 5,548,741.80
  5. Step 5: Solve for x
    x = 5,548,741.80/2,471.24
  6. Step 6: Final answer
    x = 2,245.33

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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.