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Finding the Fourth Proportional to 2,882.42, 4,324.32 and 1,238.98

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Solution

The fourth proportional to 2,882.42, 4,324.32 and 1,238.98 is: 1,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.42 : 4,324.32 = 1,238.98 : x
  2. Step 2: Convert to fraction form
    2,882.42/4,324.32 = 1,238.98/x
  3. Step 3: Cross multiply
    2,882.42x = 4,324.32 × 1,238.98
  4. Step 4: Simplify right side
    2,882.42x = 5,357,745.99
  5. Step 5: Solve for x
    x = 5,357,745.99/2,882.42
  6. Step 6: Final answer
    x = 1,858.77

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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.