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Finding the Fourth Proportional to 2,192.32, 3,287.24 and 1,576.32

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Solution

The fourth proportional to 2,192.32, 3,287.24 and 1,576.32 is: 2,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.32 : 3,287.24 = 1,576.32 : x
  2. Step 2: Convert to fraction form
    2,192.32/3,287.24 = 1,576.32/x
  3. Step 3: Cross multiply
    2,192.32x = 3,287.24 × 1,576.32
  4. Step 4: Simplify right side
    2,192.32x = 5,181,742.16
  5. Step 5: Solve for x
    x = 5,181,742.16/2,192.32
  6. Step 6: Final answer
    x = 2,363.59

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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.