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Finding the Fourth Proportional to 3,401.50, 4,694.06 and 1,909.42

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Solution

The fourth proportional to 3,401.50, 4,694.06 and 1,909.42 is: 2,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.50 : 4,694.06 = 1,909.42 : x
  2. Step 2: Convert to fraction form
    3,401.50/4,694.06 = 1,909.42/x
  3. Step 3: Cross multiply
    3,401.50x = 4,694.06 × 1,909.42
  4. Step 4: Simplify right side
    3,401.50x = 8,962,908.57
  5. Step 5: Solve for x
    x = 8,962,908.57/3,401.50
  6. Step 6: Final answer
    x = 2,634.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.