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Finding the Fourth Proportional to 2,009.87, 3,012.80 and 969.57

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Solution

The fourth proportional to 2,009.87, 3,012.80 and 969.57 is: 1,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.87 : 3,012.80 = 969.57 : x
  2. Step 2: Convert to fraction form
    2,009.87/3,012.80 = 969.57/x
  3. Step 3: Cross multiply
    2,009.87x = 3,012.80 × 969.57
  4. Step 4: Simplify right side
    2,009.87x = 2,921,115.65
  5. Step 5: Solve for x
    x = 2,921,115.65/2,009.87
  6. Step 6: Final answer
    x = 1,453.39

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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.