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Finding the Fourth Proportional to 2,266.56, 3,394.34 and 1,289.70

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Solution

The fourth proportional to 2,266.56, 3,394.34 and 1,289.70 is: 1,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.56 : 3,394.34 = 1,289.70 : x
  2. Step 2: Convert to fraction form
    2,266.56/3,394.34 = 1,289.70/x
  3. Step 3: Cross multiply
    2,266.56x = 3,394.34 × 1,289.70
  4. Step 4: Simplify right side
    2,266.56x = 4,377,680.30
  5. Step 5: Solve for x
    x = 4,377,680.30/2,266.56
  6. Step 6: Final answer
    x = 1,931.42

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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.