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Finding the Fourth Proportional to 2,832.54, 4,246.05 and 1,349.19

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Solution

The fourth proportional to 2,832.54, 4,246.05 and 1,349.19 is: 2,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.54 : 4,246.05 = 1,349.19 : x
  2. Step 2: Convert to fraction form
    2,832.54/4,246.05 = 1,349.19/x
  3. Step 3: Cross multiply
    2,832.54x = 4,246.05 × 1,349.19
  4. Step 4: Simplify right side
    2,832.54x = 5,728,728.20
  5. Step 5: Solve for x
    x = 5,728,728.20/2,832.54
  6. Step 6: Final answer
    x = 2,022.47

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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.