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Finding the Fourth Proportional to 2,568.48, 3,853.12 and 1,107.84

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Solution

The fourth proportional to 2,568.48, 3,853.12 and 1,107.84 is: 1,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.48 : 3,853.12 = 1,107.84 : x
  2. Step 2: Convert to fraction form
    2,568.48/3,853.12 = 1,107.84/x
  3. Step 3: Cross multiply
    2,568.48x = 3,853.12 × 1,107.84
  4. Step 4: Simplify right side
    2,568.48x = 4,268,640.46
  5. Step 5: Solve for x
    x = 4,268,640.46/2,568.48
  6. Step 6: Final answer
    x = 1,661.93

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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.