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Finding the Fourth Proportional to 2,009.40, 3,012.72 and 969.36

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Solution

The fourth proportional to 2,009.40, 3,012.72 and 969.36 is: 1,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.40 : 3,012.72 = 969.36 : x
  2. Step 2: Convert to fraction form
    2,009.40/3,012.72 = 969.36/x
  3. Step 3: Cross multiply
    2,009.40x = 3,012.72 × 969.36
  4. Step 4: Simplify right side
    2,009.40x = 2,920,410.26
  5. Step 5: Solve for x
    x = 2,920,410.26/2,009.40
  6. Step 6: Final answer
    x = 1,453.37

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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.