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Finding the Fourth Proportional to 2,010.57, 3,016.34 and 1,020.95

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Solution

The fourth proportional to 2,010.57, 3,016.34 and 1,020.95 is: 1,531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.57 : 3,016.34 = 1,020.95 : x
  2. Step 2: Convert to fraction form
    2,010.57/3,016.34 = 1,020.95/x
  3. Step 3: Cross multiply
    2,010.57x = 3,016.34 × 1,020.95
  4. Step 4: Simplify right side
    2,010.57x = 3,079,542.42
  5. Step 5: Solve for x
    x = 3,079,542.42/2,010.57
  6. Step 6: Final answer
    x = 1,531.68

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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.