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Finding the Fourth Proportional to 3,074.06, 4,611.30 and 882.80

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Solution

The fourth proportional to 3,074.06, 4,611.30 and 882.80 is: 1,324.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.06 : 4,611.30 = 882.80 : x
  2. Step 2: Convert to fraction form
    3,074.06/4,611.30 = 882.80/x
  3. Step 3: Cross multiply
    3,074.06x = 4,611.30 × 882.80
  4. Step 4: Simplify right side
    3,074.06x = 4,070,855.64
  5. Step 5: Solve for x
    x = 4,070,855.64/3,074.06
  6. Step 6: Final answer
    x = 1,324.26

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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.