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Finding the Fourth Proportional to 3,401.46, 5,102.80 and 1,211.46

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Solution

The fourth proportional to 3,401.46, 5,102.80 and 1,211.46 is: 1,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.46 : 5,102.80 = 1,211.46 : x
  2. Step 2: Convert to fraction form
    3,401.46/5,102.80 = 1,211.46/x
  3. Step 3: Cross multiply
    3,401.46x = 5,102.80 × 1,211.46
  4. Step 4: Simplify right side
    3,401.46x = 6,181,838.09
  5. Step 5: Solve for x
    x = 6,181,838.09/3,401.46
  6. Step 6: Final answer
    x = 1,817.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.