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Finding the Fourth Proportional to 3,401.89, 4,694.16 and 1,909.81

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Solution

The fourth proportional to 3,401.89, 4,694.16 and 1,909.81 is: 2,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.89 : 4,694.16 = 1,909.81 : x
  2. Step 2: Convert to fraction form
    3,401.89/4,694.16 = 1,909.81/x
  3. Step 3: Cross multiply
    3,401.89x = 4,694.16 × 1,909.81
  4. Step 4: Simplify right side
    3,401.89x = 8,964,953.71
  5. Step 5: Solve for x
    x = 8,964,953.71/3,401.89
  6. Step 6: Final answer
    x = 2,635.29

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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.