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Finding the Fourth Proportional to 2,548.29, 3,821.30 and 882.57

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Solution

The fourth proportional to 2,548.29, 3,821.30 and 882.57 is: 1,323.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.29 : 3,821.30 = 882.57 : x
  2. Step 2: Convert to fraction form
    2,548.29/3,821.30 = 882.57/x
  3. Step 3: Cross multiply
    2,548.29x = 3,821.30 × 882.57
  4. Step 4: Simplify right side
    2,548.29x = 3,372,541.22
  5. Step 5: Solve for x
    x = 3,372,541.22/2,548.29
  6. Step 6: Final answer
    x = 1,323.46

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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.