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Finding the Fourth Proportional to 2,215.72, 3,324.54 and 1,188.52

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Solution

The fourth proportional to 2,215.72, 3,324.54 and 1,188.52 is: 1,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.72 : 3,324.54 = 1,188.52 : x
  2. Step 2: Convert to fraction form
    2,215.72/3,324.54 = 1,188.52/x
  3. Step 3: Cross multiply
    2,215.72x = 3,324.54 × 1,188.52
  4. Step 4: Simplify right side
    2,215.72x = 3,951,282.28
  5. Step 5: Solve for x
    x = 3,951,282.28/2,215.72
  6. Step 6: Final answer
    x = 1,783.29

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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.