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Finding the Fourth Proportional to 2,338.30, 3,500.97 and 1,181.62

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Solution

The fourth proportional to 2,338.30, 3,500.97 and 1,181.62 is: 1,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.30 : 3,500.97 = 1,181.62 : x
  2. Step 2: Convert to fraction form
    2,338.30/3,500.97 = 1,181.62/x
  3. Step 3: Cross multiply
    2,338.30x = 3,500.97 × 1,181.62
  4. Step 4: Simplify right side
    2,338.30x = 4,136,816.17
  5. Step 5: Solve for x
    x = 4,136,816.17/2,338.30
  6. Step 6: Final answer
    x = 1,769.16

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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.