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Finding the Fourth Proportional to 2,182.32, 3,272.43 and 794.67

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Solution

The fourth proportional to 2,182.32, 3,272.43 and 794.67 is: 1,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.32 : 3,272.43 = 794.67 : x
  2. Step 2: Convert to fraction form
    2,182.32/3,272.43 = 794.67/x
  3. Step 3: Cross multiply
    2,182.32x = 3,272.43 × 794.67
  4. Step 4: Simplify right side
    2,182.32x = 2,600,501.95
  5. Step 5: Solve for x
    x = 2,600,501.95/2,182.32
  6. Step 6: Final answer
    x = 1,191.62

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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.