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Finding the Fourth Proportional to 2,078.85, 3,121.01 and 1,906.93

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Solution

The fourth proportional to 2,078.85, 3,121.01 and 1,906.93 is: 2,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.85 : 3,121.01 = 1,906.93 : x
  2. Step 2: Convert to fraction form
    2,078.85/3,121.01 = 1,906.93/x
  3. Step 3: Cross multiply
    2,078.85x = 3,121.01 × 1,906.93
  4. Step 4: Simplify right side
    2,078.85x = 5,951,549.12
  5. Step 5: Solve for x
    x = 5,951,549.12/2,078.85
  6. Step 6: Final answer
    x = 2,862.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.