Home / 1,182.20-1,764.55-1,109.24

Finding the Fourth Proportional to 1,182.20, 1,764.55 and 1,109.24

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Solution

The fourth proportional to 1,182.20, 1,764.55 and 1,109.24 is: 1,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.20 : 1,764.55 = 1,109.24 : x
  2. Step 2: Convert to fraction form
    1,182.20/1,764.55 = 1,109.24/x
  3. Step 3: Cross multiply
    1,182.20x = 1,764.55 × 1,109.24
  4. Step 4: Simplify right side
    1,182.20x = 1,957,309.44
  5. Step 5: Solve for x
    x = 1,957,309.44/1,182.20
  6. Step 6: Final answer
    x = 1,655.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.