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Finding the Fourth Proportional to 3,074.19, 4,611.96 and 882.75

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Solution

The fourth proportional to 3,074.19, 4,611.96 and 882.75 is: 1,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.19 : 4,611.96 = 882.75 : x
  2. Step 2: Convert to fraction form
    3,074.19/4,611.96 = 882.75/x
  3. Step 3: Cross multiply
    3,074.19x = 4,611.96 × 882.75
  4. Step 4: Simplify right side
    3,074.19x = 4,071,207.69
  5. Step 5: Solve for x
    x = 4,071,207.69/3,074.19
  6. Step 6: Final answer
    x = 1,324.32

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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.