Home / 2,089.14-3,134.22-702.48

Finding the Fourth Proportional to 2,089.14, 3,134.22 and 702.48

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Solution

The fourth proportional to 2,089.14, 3,134.22 and 702.48 is: 1,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.14 : 3,134.22 = 702.48 : x
  2. Step 2: Convert to fraction form
    2,089.14/3,134.22 = 702.48/x
  3. Step 3: Cross multiply
    2,089.14x = 3,134.22 × 702.48
  4. Step 4: Simplify right side
    2,089.14x = 2,201,726.87
  5. Step 5: Solve for x
    x = 2,201,726.87/2,089.14
  6. Step 6: Final answer
    x = 1,053.89

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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.