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Finding the Fourth Proportional to 2,012.48, 3,016.38 and 1,191.45

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Solution

The fourth proportional to 2,012.48, 3,016.38 and 1,191.45 is: 1,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.48 : 3,016.38 = 1,191.45 : x
  2. Step 2: Convert to fraction form
    2,012.48/3,016.38 = 1,191.45/x
  3. Step 3: Cross multiply
    2,012.48x = 3,016.38 × 1,191.45
  4. Step 4: Simplify right side
    2,012.48x = 3,593,865.95
  5. Step 5: Solve for x
    x = 3,593,865.95/2,012.48
  6. Step 6: Final answer
    x = 1,785.79

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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.