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Finding the Fourth Proportional to 2,548.27, 3,821.94 and 882.40

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Solution

The fourth proportional to 2,548.27, 3,821.94 and 882.40 is: 1,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.27 : 3,821.94 = 882.40 : x
  2. Step 2: Convert to fraction form
    2,548.27/3,821.94 = 882.40/x
  3. Step 3: Cross multiply
    2,548.27x = 3,821.94 × 882.40
  4. Step 4: Simplify right side
    2,548.27x = 3,372,479.86
  5. Step 5: Solve for x
    x = 3,372,479.86/2,548.27
  6. Step 6: Final answer
    x = 1,323.44

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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.