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Finding the Fourth Proportional to 2,862.54, 3,950.91 and 2,640.20

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Solution

The fourth proportional to 2,862.54, 3,950.91 and 2,640.20 is: 3,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.54 : 3,950.91 = 2,640.20 : x
  2. Step 2: Convert to fraction form
    2,862.54/3,950.91 = 2,640.20/x
  3. Step 3: Cross multiply
    2,862.54x = 3,950.91 × 2,640.20
  4. Step 4: Simplify right side
    2,862.54x = 10,431,172.83
  5. Step 5: Solve for x
    x = 10,431,172.83/2,862.54
  6. Step 6: Final answer
    x = 3,644.03

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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.