Home / 1,589.24-2,384.17-711.41

Finding the Fourth Proportional to 1,589.24, 2,384.17 and 711.41

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Solution

The fourth proportional to 1,589.24, 2,384.17 and 711.41 is: 1,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.24 : 2,384.17 = 711.41 : x
  2. Step 2: Convert to fraction form
    1,589.24/2,384.17 = 711.41/x
  3. Step 3: Cross multiply
    1,589.24x = 2,384.17 × 711.41
  4. Step 4: Simplify right side
    1,589.24x = 1,696,108.68
  5. Step 5: Solve for x
    x = 1,696,108.68/1,589.24
  6. Step 6: Final answer
    x = 1,067.24

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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.