Home / 2,089.32-3,134.13-702.66

Finding the Fourth Proportional to 2,089.32, 3,134.13 and 702.66

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Solution

The fourth proportional to 2,089.32, 3,134.13 and 702.66 is: 1,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.32 : 3,134.13 = 702.66 : x
  2. Step 2: Convert to fraction form
    2,089.32/3,134.13 = 702.66/x
  3. Step 3: Cross multiply
    2,089.32x = 3,134.13 × 702.66
  4. Step 4: Simplify right side
    2,089.32x = 2,202,212.12
  5. Step 5: Solve for x
    x = 2,202,212.12/2,089.32
  6. Step 6: Final answer
    x = 1,054.04

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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.