Home / 2,154.15-3,231.48-767.62

Finding the Fourth Proportional to 2,154.15, 3,231.48 and 767.62

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Solution

The fourth proportional to 2,154.15, 3,231.48 and 767.62 is: 1,151.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.15 : 3,231.48 = 767.62 : x
  2. Step 2: Convert to fraction form
    2,154.15/3,231.48 = 767.62/x
  3. Step 3: Cross multiply
    2,154.15x = 3,231.48 × 767.62
  4. Step 4: Simplify right side
    2,154.15x = 2,480,562.47
  5. Step 5: Solve for x
    x = 2,480,562.47/2,154.15
  6. Step 6: Final answer
    x = 1,151.53

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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.