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Finding the Fourth Proportional to 2,181.10, 3,266.85 and 881.90

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Solution

The fourth proportional to 2,181.10, 3,266.85 and 881.90 is: 1,320.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.10 : 3,266.85 = 881.90 : x
  2. Step 2: Convert to fraction form
    2,181.10/3,266.85 = 881.90/x
  3. Step 3: Cross multiply
    2,181.10x = 3,266.85 × 881.90
  4. Step 4: Simplify right side
    2,181.10x = 2,881,035.02
  5. Step 5: Solve for x
    x = 2,881,035.02/2,181.10
  6. Step 6: Final answer
    x = 1,320.91

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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.