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Finding the Fourth Proportional to 2,642.59, 3,638.48 and 2,243.43

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Solution

The fourth proportional to 2,642.59, 3,638.48 and 2,243.43 is: 3,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.59 : 3,638.48 = 2,243.43 : x
  2. Step 2: Convert to fraction form
    2,642.59/3,638.48 = 2,243.43/x
  3. Step 3: Cross multiply
    2,642.59x = 3,638.48 × 2,243.43
  4. Step 4: Simplify right side
    2,642.59x = 8,162,654.93
  5. Step 5: Solve for x
    x = 8,162,654.93/2,642.59
  6. Step 6: Final answer
    x = 3,088.88

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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.