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Finding the Fourth Proportional to 2,881.30, 3,974.07 and 2,135.29

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Solution

The fourth proportional to 2,881.30, 3,974.07 and 2,135.29 is: 2,945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.30 : 3,974.07 = 2,135.29 : x
  2. Step 2: Convert to fraction form
    2,881.30/3,974.07 = 2,135.29/x
  3. Step 3: Cross multiply
    2,881.30x = 3,974.07 × 2,135.29
  4. Step 4: Simplify right side
    2,881.30x = 8,485,791.93
  5. Step 5: Solve for x
    x = 8,485,791.93/2,881.30
  6. Step 6: Final answer
    x = 2,945.13

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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.