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Finding the Fourth Proportional to 2,012.20, 3,014.16 and 969.13

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Solution

The fourth proportional to 2,012.20, 3,014.16 and 969.13 is: 1,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.20 : 3,014.16 = 969.13 : x
  2. Step 2: Convert to fraction form
    2,012.20/3,014.16 = 969.13/x
  3. Step 3: Cross multiply
    2,012.20x = 3,014.16 × 969.13
  4. Step 4: Simplify right side
    2,012.20x = 2,921,112.88
  5. Step 5: Solve for x
    x = 2,921,112.88/2,012.20
  6. Step 6: Final answer
    x = 1,451.70

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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.