Home / 3,135.20-4,702.80-826.70

Finding the Fourth Proportional to 3,135.20, 4,702.80 and 826.70

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Solution

The fourth proportional to 3,135.20, 4,702.80 and 826.70 is: 1,240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.20 : 4,702.80 = 826.70 : x
  2. Step 2: Convert to fraction form
    3,135.20/4,702.80 = 826.70/x
  3. Step 3: Cross multiply
    3,135.20x = 4,702.80 × 826.70
  4. Step 4: Simplify right side
    3,135.20x = 3,887,781.25
  5. Step 5: Solve for x
    x = 3,887,781.25/3,135.20
  6. Step 6: Final answer
    x = 1,240.04

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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.