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Finding the Fourth Proportional to 2,069.26, 3,106.14 and 1,195

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Solution

The fourth proportional to 2,069.26, 3,106.14 and 1,195 is: 1,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.26 : 3,106.14 = 1,195 : x
  2. Step 2: Convert to fraction form
    2,069.26/3,106.14 = 1,195/x
  3. Step 3: Cross multiply
    2,069.26x = 3,106.14 × 1,195
  4. Step 4: Simplify right side
    2,069.26x = 3,711,837.30
  5. Step 5: Solve for x
    x = 3,711,837.30/2,069.26
  6. Step 6: Final answer
    x = 1,793.80

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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.