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Finding the Fourth Proportional to 2,120.10, 3,181.63 and 871.68

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Solution

The fourth proportional to 2,120.10, 3,181.63 and 871.68 is: 1,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.10 : 3,181.63 = 871.68 : x
  2. Step 2: Convert to fraction form
    2,120.10/3,181.63 = 871.68/x
  3. Step 3: Cross multiply
    2,120.10x = 3,181.63 × 871.68
  4. Step 4: Simplify right side
    2,120.10x = 2,773,363.24
  5. Step 5: Solve for x
    x = 2,773,363.24/2,120.10
  6. Step 6: Final answer
    x = 1,308.13

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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.