Home / 1,823.82-2,517.24-1,160.54

Finding the Fourth Proportional to 1,823.82, 2,517.24 and 1,160.54

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Solution

The fourth proportional to 1,823.82, 2,517.24 and 1,160.54 is: 1,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.82 : 2,517.24 = 1,160.54 : x
  2. Step 2: Convert to fraction form
    1,823.82/2,517.24 = 1,160.54/x
  3. Step 3: Cross multiply
    1,823.82x = 2,517.24 × 1,160.54
  4. Step 4: Simplify right side
    1,823.82x = 2,921,357.71
  5. Step 5: Solve for x
    x = 2,921,357.71/1,823.82
  6. Step 6: Final answer
    x = 1,601.78

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