Home / 2,327.28-3,491.46-767.23

Finding the Fourth Proportional to 2,327.28, 3,491.46 and 767.23

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Solution

The fourth proportional to 2,327.28, 3,491.46 and 767.23 is: 1,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.28 : 3,491.46 = 767.23 : x
  2. Step 2: Convert to fraction form
    2,327.28/3,491.46 = 767.23/x
  3. Step 3: Cross multiply
    2,327.28x = 3,491.46 × 767.23
  4. Step 4: Simplify right side
    2,327.28x = 2,678,752.86
  5. Step 5: Solve for x
    x = 2,678,752.86/2,327.28
  6. Step 6: Final answer
    x = 1,151.02

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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.