Home / 2,108.20-3,164.70-876.52

Finding the Fourth Proportional to 2,108.20, 3,164.70 and 876.52

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Solution

The fourth proportional to 2,108.20, 3,164.70 and 876.52 is: 1,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.20 : 3,164.70 = 876.52 : x
  2. Step 2: Convert to fraction form
    2,108.20/3,164.70 = 876.52/x
  3. Step 3: Cross multiply
    2,108.20x = 3,164.70 × 876.52
  4. Step 4: Simplify right side
    2,108.20x = 2,773,922.84
  5. Step 5: Solve for x
    x = 2,773,922.84/2,108.20
  6. Step 6: Final answer
    x = 1,315.78

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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.