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Finding the Fourth Proportional to 2,010.81, 3,016.67 and 914.88

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Solution

The fourth proportional to 2,010.81, 3,016.67 and 914.88 is: 1,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.81 : 3,016.67 = 914.88 : x
  2. Step 2: Convert to fraction form
    2,010.81/3,016.67 = 914.88/x
  3. Step 3: Cross multiply
    2,010.81x = 3,016.67 × 914.88
  4. Step 4: Simplify right side
    2,010.81x = 2,759,886.48
  5. Step 5: Solve for x
    x = 2,759,886.48/2,010.81
  6. Step 6: Final answer
    x = 1,372.52

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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.