Home / 1,757.14-2,424-1,166.92

Finding the Fourth Proportional to 1,757.14, 2,424 and 1,166.92

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Solution

The fourth proportional to 1,757.14, 2,424 and 1,166.92 is: 1,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.14 : 2,424 = 1,166.92 : x
  2. Step 2: Convert to fraction form
    1,757.14/2,424 = 1,166.92/x
  3. Step 3: Cross multiply
    1,757.14x = 2,424 × 1,166.92
  4. Step 4: Simplify right side
    1,757.14x = 2,828,614.08
  5. Step 5: Solve for x
    x = 2,828,614.08/1,757.14
  6. Step 6: Final answer
    x = 1,609.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.