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Finding the Fourth Proportional to 2,638.57, 3,640.91 and 1,519.87

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Solution

The fourth proportional to 2,638.57, 3,640.91 and 1,519.87 is: 2,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.57 : 3,640.91 = 1,519.87 : x
  2. Step 2: Convert to fraction form
    2,638.57/3,640.91 = 1,519.87/x
  3. Step 3: Cross multiply
    2,638.57x = 3,640.91 × 1,519.87
  4. Step 4: Simplify right side
    2,638.57x = 5,533,712.53
  5. Step 5: Solve for x
    x = 5,533,712.53/2,638.57
  6. Step 6: Final answer
    x = 2,097.24

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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.