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Finding the Fourth Proportional to 2,862.13, 3,950.25 and 2,078.46

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Solution

The fourth proportional to 2,862.13, 3,950.25 and 2,078.46 is: 2,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.13 : 3,950.25 = 2,078.46 : x
  2. Step 2: Convert to fraction form
    2,862.13/3,950.25 = 2,078.46/x
  3. Step 3: Cross multiply
    2,862.13x = 3,950.25 × 2,078.46
  4. Step 4: Simplify right side
    2,862.13x = 8,210,436.62
  5. Step 5: Solve for x
    x = 8,210,436.62/2,862.13
  6. Step 6: Final answer
    x = 2,868.65

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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.