Home / 2,257.40-3,382.44-1,160.24

Finding the Fourth Proportional to 2,257.40, 3,382.44 and 1,160.24

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Solution

The fourth proportional to 2,257.40, 3,382.44 and 1,160.24 is: 1,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.40 : 3,382.44 = 1,160.24 : x
  2. Step 2: Convert to fraction form
    2,257.40/3,382.44 = 1,160.24/x
  3. Step 3: Cross multiply
    2,257.40x = 3,382.44 × 1,160.24
  4. Step 4: Simplify right side
    2,257.40x = 3,924,442.19
  5. Step 5: Solve for x
    x = 3,924,442.19/2,257.40
  6. Step 6: Final answer
    x = 1,738.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.