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Finding the Fourth Proportional to 2,181.66, 3,271.52 and 794.54

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Solution

The fourth proportional to 2,181.66, 3,271.52 and 794.54 is: 1,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.66 : 3,271.52 = 794.54 : x
  2. Step 2: Convert to fraction form
    2,181.66/3,271.52 = 794.54/x
  3. Step 3: Cross multiply
    2,181.66x = 3,271.52 × 794.54
  4. Step 4: Simplify right side
    2,181.66x = 2,599,353.50
  5. Step 5: Solve for x
    x = 2,599,353.50/2,181.66
  6. Step 6: Final answer
    x = 1,191.46

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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.