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Finding the Fourth Proportional to 3,401.76, 4,694.46 and 1,889.34

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Solution

The fourth proportional to 3,401.76, 4,694.46 and 1,889.34 is: 2,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.76 : 4,694.46 = 1,889.34 : x
  2. Step 2: Convert to fraction form
    3,401.76/4,694.46 = 1,889.34/x
  3. Step 3: Cross multiply
    3,401.76x = 4,694.46 × 1,889.34
  4. Step 4: Simplify right side
    3,401.76x = 8,869,406.37
  5. Step 5: Solve for x
    x = 8,869,406.37/3,401.76
  6. Step 6: Final answer
    x = 2,607.30

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Why These Related Problems?

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