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Finding the Fourth Proportional to 2,010.31, 3,015.92 and 914.38

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Solution

The fourth proportional to 2,010.31, 3,015.92 and 914.38 is: 1,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.31 : 3,015.92 = 914.38 : x
  2. Step 2: Convert to fraction form
    2,010.31/3,015.92 = 914.38/x
  3. Step 3: Cross multiply
    2,010.31x = 3,015.92 × 914.38
  4. Step 4: Simplify right side
    2,010.31x = 2,757,696.93
  5. Step 5: Solve for x
    x = 2,757,696.93/2,010.31
  6. Step 6: Final answer
    x = 1,371.78

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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.