Home / 2,842.24-4,257.69-2,258.23

Finding the Fourth Proportional to 2,842.24, 4,257.69 and 2,258.23

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Solution

The fourth proportional to 2,842.24, 4,257.69 and 2,258.23 is: 3,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.24 : 4,257.69 = 2,258.23 : x
  2. Step 2: Convert to fraction form
    2,842.24/4,257.69 = 2,258.23/x
  3. Step 3: Cross multiply
    2,842.24x = 4,257.69 × 2,258.23
  4. Step 4: Simplify right side
    2,842.24x = 9,614,843.29
  5. Step 5: Solve for x
    x = 9,614,843.29/2,842.24
  6. Step 6: Final answer
    x = 3,382.84

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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.