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Finding the Fourth Proportional to 2,847.29, 4,268.19 and 2,260.74

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Solution

The fourth proportional to 2,847.29, 4,268.19 and 2,260.74 is: 3,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.29 : 4,268.19 = 2,260.74 : x
  2. Step 2: Convert to fraction form
    2,847.29/4,268.19 = 2,260.74/x
  3. Step 3: Cross multiply
    2,847.29x = 4,268.19 × 2,260.74
  4. Step 4: Simplify right side
    2,847.29x = 9,649,292.34
  5. Step 5: Solve for x
    x = 9,649,292.34/2,847.29
  6. Step 6: Final answer
    x = 3,388.95

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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.