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Finding the Fourth Proportional to 3,074.40, 4,610.99 and 882.62

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Solution

The fourth proportional to 3,074.40, 4,610.99 and 882.62 is: 1,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.40 : 4,610.99 = 882.62 : x
  2. Step 2: Convert to fraction form
    3,074.40/4,610.99 = 882.62/x
  3. Step 3: Cross multiply
    3,074.40x = 4,610.99 × 882.62
  4. Step 4: Simplify right side
    3,074.40x = 4,069,724.53
  5. Step 5: Solve for x
    x = 4,069,724.53/3,074.40
  6. Step 6: Final answer
    x = 1,323.75

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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.