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Finding the Fourth Proportional to 2,192.86, 3,288.45 and 1,192

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Solution

The fourth proportional to 2,192.86, 3,288.45 and 1,192 is: 1,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.86 : 3,288.45 = 1,192 : x
  2. Step 2: Convert to fraction form
    2,192.86/3,288.45 = 1,192/x
  3. Step 3: Cross multiply
    2,192.86x = 3,288.45 × 1,192
  4. Step 4: Simplify right side
    2,192.86x = 3,919,832.40
  5. Step 5: Solve for x
    x = 3,919,832.40/2,192.86
  6. Step 6: Final answer
    x = 1,787.54

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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.