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Finding the Fourth Proportional to 2,010.28, 3,016.72 and 914.70

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Solution

The fourth proportional to 2,010.28, 3,016.72 and 914.70 is: 1,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.28 : 3,016.72 = 914.70 : x
  2. Step 2: Convert to fraction form
    2,010.28/3,016.72 = 914.70/x
  3. Step 3: Cross multiply
    2,010.28x = 3,016.72 × 914.70
  4. Step 4: Simplify right side
    2,010.28x = 2,759,393.78
  5. Step 5: Solve for x
    x = 2,759,393.78/2,010.28
  6. Step 6: Final answer
    x = 1,372.64

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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.