Home / 1,282.73-1,921.80-1,098.32

Finding the Fourth Proportional to 1,282.73, 1,921.80 and 1,098.32

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Solution

The fourth proportional to 1,282.73, 1,921.80 and 1,098.32 is: 1,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.73 : 1,921.80 = 1,098.32 : x
  2. Step 2: Convert to fraction form
    1,282.73/1,921.80 = 1,098.32/x
  3. Step 3: Cross multiply
    1,282.73x = 1,921.80 × 1,098.32
  4. Step 4: Simplify right side
    1,282.73x = 2,110,751.38
  5. Step 5: Solve for x
    x = 2,110,751.38/1,282.73
  6. Step 6: Final answer
    x = 1,645.51

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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.