Home / 1,543.28-2,314.20-677.84

Finding the Fourth Proportional to 1,543.28, 2,314.20 and 677.84

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Solution

The fourth proportional to 1,543.28, 2,314.20 and 677.84 is: 1,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.28 : 2,314.20 = 677.84 : x
  2. Step 2: Convert to fraction form
    1,543.28/2,314.20 = 677.84/x
  3. Step 3: Cross multiply
    1,543.28x = 2,314.20 × 677.84
  4. Step 4: Simplify right side
    1,543.28x = 1,568,657.33
  5. Step 5: Solve for x
    x = 1,568,657.33/1,543.28
  6. Step 6: Final answer
    x = 1,016.44

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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.