Home / 2,327.14-3,491.14-767.23

Finding the Fourth Proportional to 2,327.14, 3,491.14 and 767.23

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Solution

The fourth proportional to 2,327.14, 3,491.14 and 767.23 is: 1,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.14 : 3,491.14 = 767.23 : x
  2. Step 2: Convert to fraction form
    2,327.14/3,491.14 = 767.23/x
  3. Step 3: Cross multiply
    2,327.14x = 3,491.14 × 767.23
  4. Step 4: Simplify right side
    2,327.14x = 2,678,507.34
  5. Step 5: Solve for x
    x = 2,678,507.34/2,327.14
  6. Step 6: Final answer
    x = 1,150.99

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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.