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Finding the Fourth Proportional to 2,160.56, 3,238.68 and 1,063.28

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Solution

The fourth proportional to 2,160.56, 3,238.68 and 1,063.28 is: 1,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.56 : 3,238.68 = 1,063.28 : x
  2. Step 2: Convert to fraction form
    2,160.56/3,238.68 = 1,063.28/x
  3. Step 3: Cross multiply
    2,160.56x = 3,238.68 × 1,063.28
  4. Step 4: Simplify right side
    2,160.56x = 3,443,623.67
  5. Step 5: Solve for x
    x = 3,443,623.67/2,160.56
  6. Step 6: Final answer
    x = 1,593.86

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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.