Home / 1,543.20-2,314.80-677.28

Finding the Fourth Proportional to 1,543.20, 2,314.80 and 677.28

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Solution

The fourth proportional to 1,543.20, 2,314.80 and 677.28 is: 1,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.20 : 2,314.80 = 677.28 : x
  2. Step 2: Convert to fraction form
    1,543.20/2,314.80 = 677.28/x
  3. Step 3: Cross multiply
    1,543.20x = 2,314.80 × 677.28
  4. Step 4: Simplify right side
    1,543.20x = 1,567,767.74
  5. Step 5: Solve for x
    x = 1,567,767.74/1,543.20
  6. Step 6: Final answer
    x = 1,015.92

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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.