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Finding the Fourth Proportional to 2,182.32, 3,271.05 and 794.52

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Solution

The fourth proportional to 2,182.32, 3,271.05 and 794.52 is: 1,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.32 : 3,271.05 = 794.52 : x
  2. Step 2: Convert to fraction form
    2,182.32/3,271.05 = 794.52/x
  3. Step 3: Cross multiply
    2,182.32x = 3,271.05 × 794.52
  4. Step 4: Simplify right side
    2,182.32x = 2,598,914.65
  5. Step 5: Solve for x
    x = 2,598,914.65/2,182.32
  6. Step 6: Final answer
    x = 1,190.90

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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.