Home / 2,103.20-3,154.82-716.57

Finding the Fourth Proportional to 2,103.20, 3,154.82 and 716.57

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Solution

The fourth proportional to 2,103.20, 3,154.82 and 716.57 is: 1,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.20 : 3,154.82 = 716.57 : x
  2. Step 2: Convert to fraction form
    2,103.20/3,154.82 = 716.57/x
  3. Step 3: Cross multiply
    2,103.20x = 3,154.82 × 716.57
  4. Step 4: Simplify right side
    2,103.20x = 2,260,630.01
  5. Step 5: Solve for x
    x = 2,260,630.01/2,103.20
  6. Step 6: Final answer
    x = 1,074.86

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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.