Home / 1,232.06-1,845.92-1,098.14

Finding the Fourth Proportional to 1,232.06, 1,845.92 and 1,098.14

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Solution

The fourth proportional to 1,232.06, 1,845.92 and 1,098.14 is: 1,645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.06 : 1,845.92 = 1,098.14 : x
  2. Step 2: Convert to fraction form
    1,232.06/1,845.92 = 1,098.14/x
  3. Step 3: Cross multiply
    1,232.06x = 1,845.92 × 1,098.14
  4. Step 4: Simplify right side
    1,232.06x = 2,027,078.59
  5. Step 5: Solve for x
    x = 2,027,078.59/1,232.06
  6. Step 6: Final answer
    x = 1,645.28

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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.