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Finding the Fourth Proportional to 3,074.11, 4,611.36 and 882.79

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Solution

The fourth proportional to 3,074.11, 4,611.36 and 882.79 is: 1,324.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.11 : 4,611.36 = 882.79 : x
  2. Step 2: Convert to fraction form
    3,074.11/4,611.36 = 882.79/x
  3. Step 3: Cross multiply
    3,074.11x = 4,611.36 × 882.79
  4. Step 4: Simplify right side
    3,074.11x = 4,070,862.49
  5. Step 5: Solve for x
    x = 4,070,862.49/3,074.11
  6. Step 6: Final answer
    x = 1,324.24

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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.