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Finding the Fourth Proportional to 2,181.80, 3,273.30 and 884.18

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Solution

The fourth proportional to 2,181.80, 3,273.30 and 884.18 is: 1,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.80 : 3,273.30 = 884.18 : x
  2. Step 2: Convert to fraction form
    2,181.80/3,273.30 = 884.18/x
  3. Step 3: Cross multiply
    2,181.80x = 3,273.30 × 884.18
  4. Step 4: Simplify right side
    2,181.80x = 2,894,186.39
  5. Step 5: Solve for x
    x = 2,894,186.39/2,181.80
  6. Step 6: Final answer
    x = 1,326.51

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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.