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Finding the Fourth Proportional to 2,009.72, 3,012.46 and 969.08

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Solution

The fourth proportional to 2,009.72, 3,012.46 and 969.08 is: 1,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.72 : 3,012.46 = 969.08 : x
  2. Step 2: Convert to fraction form
    2,009.72/3,012.46 = 969.08/x
  3. Step 3: Cross multiply
    2,009.72x = 3,012.46 × 969.08
  4. Step 4: Simplify right side
    2,009.72x = 2,919,297.25
  5. Step 5: Solve for x
    x = 2,919,297.25/2,009.72
  6. Step 6: Final answer
    x = 1,452.59

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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.