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Finding the Fourth Proportional to 3,288.52, 4,932.26 and 979.48

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Solution

The fourth proportional to 3,288.52, 4,932.26 and 979.48 is: 1,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.52 : 4,932.26 = 979.48 : x
  2. Step 2: Convert to fraction form
    3,288.52/4,932.26 = 979.48/x
  3. Step 3: Cross multiply
    3,288.52x = 4,932.26 × 979.48
  4. Step 4: Simplify right side
    3,288.52x = 4,831,050.02
  5. Step 5: Solve for x
    x = 4,831,050.02/3,288.52
  6. Step 6: Final answer
    x = 1,469.07

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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.