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Finding the Fourth Proportional to 2,448.52, 3,680.88 and 2,268.16

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Solution

The fourth proportional to 2,448.52, 3,680.88 and 2,268.16 is: 3,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.52 : 3,680.88 = 2,268.16 : x
  2. Step 2: Convert to fraction form
    2,448.52/3,680.88 = 2,268.16/x
  3. Step 3: Cross multiply
    2,448.52x = 3,680.88 × 2,268.16
  4. Step 4: Simplify right side
    2,448.52x = 8,348,824.78
  5. Step 5: Solve for x
    x = 8,348,824.78/2,448.52
  6. Step 6: Final answer
    x = 3,409.74

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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.