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Finding the Fourth Proportional to 1,376.88, 1,895.24 and 1,201.92

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Solution

The fourth proportional to 1,376.88, 1,895.24 and 1,201.92 is: 1,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.88 : 1,895.24 = 1,201.92 : x
  2. Step 2: Convert to fraction form
    1,376.88/1,895.24 = 1,201.92/x
  3. Step 3: Cross multiply
    1,376.88x = 1,895.24 × 1,201.92
  4. Step 4: Simplify right side
    1,376.88x = 2,277,926.86
  5. Step 5: Solve for x
    x = 2,277,926.86/1,376.88
  6. Step 6: Final answer
    x = 1,654.41

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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.