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Finding the Fourth Proportional to 2,209.74, 3,314.46 and 1,594.56

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Solution

The fourth proportional to 2,209.74, 3,314.46 and 1,594.56 is: 2,391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.74 : 3,314.46 = 1,594.56 : x
  2. Step 2: Convert to fraction form
    2,209.74/3,314.46 = 1,594.56/x
  3. Step 3: Cross multiply
    2,209.74x = 3,314.46 × 1,594.56
  4. Step 4: Simplify right side
    2,209.74x = 5,285,105.34
  5. Step 5: Solve for x
    x = 5,285,105.34/2,209.74
  6. Step 6: Final answer
    x = 2,391.73

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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.