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Finding the Fourth Proportional to 2,010.24, 3,014.28 and 914.85

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Solution

The fourth proportional to 2,010.24, 3,014.28 and 914.85 is: 1,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.24 : 3,014.28 = 914.85 : x
  2. Step 2: Convert to fraction form
    2,010.24/3,014.28 = 914.85/x
  3. Step 3: Cross multiply
    2,010.24x = 3,014.28 × 914.85
  4. Step 4: Simplify right side
    2,010.24x = 2,757,614.06
  5. Step 5: Solve for x
    x = 2,757,614.06/2,010.24
  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.