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Finding the Fourth Proportional to 3,073.82, 4,610.76 and 882.56

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Solution

The fourth proportional to 3,073.82, 4,610.76 and 882.56 is: 1,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.82 : 4,610.76 = 882.56 : x
  2. Step 2: Convert to fraction form
    3,073.82/4,610.76 = 882.56/x
  3. Step 3: Cross multiply
    3,073.82x = 4,610.76 × 882.56
  4. Step 4: Simplify right side
    3,073.82x = 4,069,280.56
  5. Step 5: Solve for x
    x = 4,069,280.56/3,073.82
  6. Step 6: Final answer
    x = 1,323.85

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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.