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Finding the Fourth Proportional to 3,288.31, 4,932.41 and 823.12

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Solution

The fourth proportional to 3,288.31, 4,932.41 and 823.12 is: 1,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.31 : 4,932.41 = 823.12 : x
  2. Step 2: Convert to fraction form
    3,288.31/4,932.41 = 823.12/x
  3. Step 3: Cross multiply
    3,288.31x = 4,932.41 × 823.12
  4. Step 4: Simplify right side
    3,288.31x = 4,059,965.32
  5. Step 5: Solve for x
    x = 4,059,965.32/3,288.31
  6. Step 6: Final answer
    x = 1,234.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.