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Finding the Fourth Proportional to 3,074.25, 4,610.82 and 882.54

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Solution

The fourth proportional to 3,074.25, 4,610.82 and 882.54 is: 1,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.25 : 4,610.82 = 882.54 : x
  2. Step 2: Convert to fraction form
    3,074.25/4,610.82 = 882.54/x
  3. Step 3: Cross multiply
    3,074.25x = 4,610.82 × 882.54
  4. Step 4: Simplify right side
    3,074.25x = 4,069,233.08
  5. Step 5: Solve for x
    x = 4,069,233.08/3,074.25
  6. Step 6: Final answer
    x = 1,323.65

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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.