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Finding the Fourth Proportional to 2,181.60, 3,272.85 and 883.08

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Solution

The fourth proportional to 2,181.60, 3,272.85 and 883.08 is: 1,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.60 : 3,272.85 = 883.08 : x
  2. Step 2: Convert to fraction form
    2,181.60/3,272.85 = 883.08/x
  3. Step 3: Cross multiply
    2,181.60x = 3,272.85 × 883.08
  4. Step 4: Simplify right side
    2,181.60x = 2,890,188.38
  5. Step 5: Solve for x
    x = 2,890,188.38/2,181.60
  6. Step 6: Final answer
    x = 1,324.80

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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.