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Finding the Fourth Proportional to 2,641.91, 3,637.52 and 2,242.73

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Solution

The fourth proportional to 2,641.91, 3,637.52 and 2,242.73 is: 3,087.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.91 : 3,637.52 = 2,242.73 : x
  2. Step 2: Convert to fraction form
    2,641.91/3,637.52 = 2,242.73/x
  3. Step 3: Cross multiply
    2,641.91x = 3,637.52 × 2,242.73
  4. Step 4: Simplify right side
    2,641.91x = 8,157,964.02
  5. Step 5: Solve for x
    x = 8,157,964.02/2,641.91
  6. Step 6: Final answer
    x = 3,087.91

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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.