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Finding the Fourth Proportional to 1,449.32, 2,174.52 and 872.60

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Solution

The fourth proportional to 1,449.32, 2,174.52 and 872.60 is: 1,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.32 : 2,174.52 = 872.60 : x
  2. Step 2: Convert to fraction form
    1,449.32/2,174.52 = 872.60/x
  3. Step 3: Cross multiply
    1,449.32x = 2,174.52 × 872.60
  4. Step 4: Simplify right side
    1,449.32x = 1,897,486.15
  5. Step 5: Solve for x
    x = 1,897,486.15/1,449.32
  6. Step 6: Final answer
    x = 1,309.23

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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.