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Finding the Fourth Proportional to 1,372.32, 1,896.40 and 1,199.52

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Solution

The fourth proportional to 1,372.32, 1,896.40 and 1,199.52 is: 1,657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.32 : 1,896.40 = 1,199.52 : x
  2. Step 2: Convert to fraction form
    1,372.32/1,896.40 = 1,199.52/x
  3. Step 3: Cross multiply
    1,372.32x = 1,896.40 × 1,199.52
  4. Step 4: Simplify right side
    1,372.32x = 2,274,769.73
  5. Step 5: Solve for x
    x = 2,274,769.73/1,372.32
  6. Step 6: Final answer
    x = 1,657.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.