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Finding the Fourth Proportional to 2,641.18, 3,642.42 and 2,268.04

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Solution

The fourth proportional to 2,641.18, 3,642.42 and 2,268.04 is: 3,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.18 : 3,642.42 = 2,268.04 : x
  2. Step 2: Convert to fraction form
    2,641.18/3,642.42 = 2,268.04/x
  3. Step 3: Cross multiply
    2,641.18x = 3,642.42 × 2,268.04
  4. Step 4: Simplify right side
    2,641.18x = 8,261,154.26
  5. Step 5: Solve for x
    x = 8,261,154.26/2,641.18
  6. Step 6: Final answer
    x = 3,127.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.