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Finding the Fourth Proportional to 3,401.59, 4,694.01 and 1,909.27

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Solution

The fourth proportional to 3,401.59, 4,694.01 and 1,909.27 is: 2,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.59 : 4,694.01 = 1,909.27 : x
  2. Step 2: Convert to fraction form
    3,401.59/4,694.01 = 1,909.27/x
  3. Step 3: Cross multiply
    3,401.59x = 4,694.01 × 1,909.27
  4. Step 4: Simplify right side
    3,401.59x = 8,962,132.47
  5. Step 5: Solve for x
    x = 8,962,132.47/3,401.59
  6. Step 6: Final answer
    x = 2,634.69

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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.