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Finding the Fourth Proportional to 2,638.97, 3,641.23 and 1,519.61

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Solution

The fourth proportional to 2,638.97, 3,641.23 and 1,519.61 is: 2,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.97 : 3,641.23 = 1,519.61 : x
  2. Step 2: Convert to fraction form
    2,638.97/3,641.23 = 1,519.61/x
  3. Step 3: Cross multiply
    2,638.97x = 3,641.23 × 1,519.61
  4. Step 4: Simplify right side
    2,638.97x = 5,533,223.72
  5. Step 5: Solve for x
    x = 5,533,223.72/2,638.97
  6. Step 6: Final answer
    x = 2,096.74

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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.