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Finding the Fourth Proportional to 1,447.57, 2,169.09 and 1,119.32

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Solution

The fourth proportional to 1,447.57, 2,169.09 and 1,119.32 is: 1,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.57 : 2,169.09 = 1,119.32 : x
  2. Step 2: Convert to fraction form
    1,447.57/2,169.09 = 1,119.32/x
  3. Step 3: Cross multiply
    1,447.57x = 2,169.09 × 1,119.32
  4. Step 4: Simplify right side
    1,447.57x = 2,427,905.82
  5. Step 5: Solve for x
    x = 2,427,905.82/1,447.57
  6. Step 6: Final answer
    x = 1,677.23

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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.