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Finding the Fourth Proportional to 2,181.62, 3,269.24 and 1,357.39

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Solution

The fourth proportional to 2,181.62, 3,269.24 and 1,357.39 is: 2,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.62 : 3,269.24 = 1,357.39 : x
  2. Step 2: Convert to fraction form
    2,181.62/3,269.24 = 1,357.39/x
  3. Step 3: Cross multiply
    2,181.62x = 3,269.24 × 1,357.39
  4. Step 4: Simplify right side
    2,181.62x = 4,437,633.68
  5. Step 5: Solve for x
    x = 4,437,633.68/2,181.62
  6. Step 6: Final answer
    x = 2,034.10

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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.