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Finding the Fourth Proportional to 2,611.72, 3,919.12 and 969.42

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Solution

The fourth proportional to 2,611.72, 3,919.12 and 969.42 is: 1,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.72 : 3,919.12 = 969.42 : x
  2. Step 2: Convert to fraction form
    2,611.72/3,919.12 = 969.42/x
  3. Step 3: Cross multiply
    2,611.72x = 3,919.12 × 969.42
  4. Step 4: Simplify right side
    2,611.72x = 3,799,273.31
  5. Step 5: Solve for x
    x = 3,799,273.31/2,611.72
  6. Step 6: Final answer
    x = 1,454.70

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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.