Home / 1,523.14-2,098.81-1,169.04

Finding the Fourth Proportional to 1,523.14, 2,098.81 and 1,169.04

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Solution

The fourth proportional to 1,523.14, 2,098.81 and 1,169.04 is: 1,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.14 : 2,098.81 = 1,169.04 : x
  2. Step 2: Convert to fraction form
    1,523.14/2,098.81 = 1,169.04/x
  3. Step 3: Cross multiply
    1,523.14x = 2,098.81 × 1,169.04
  4. Step 4: Simplify right side
    1,523.14x = 2,453,587.00
  5. Step 5: Solve for x
    x = 2,453,587.00/1,523.14
  6. Step 6: Final answer
    x = 1,610.88

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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.