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Finding the Fourth Proportional to 3,401.84, 5,102.40 and 1,754.12

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Solution

The fourth proportional to 3,401.84, 5,102.40 and 1,754.12 is: 2,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.84 : 5,102.40 = 1,754.12 : x
  2. Step 2: Convert to fraction form
    3,401.84/5,102.40 = 1,754.12/x
  3. Step 3: Cross multiply
    3,401.84x = 5,102.40 × 1,754.12
  4. Step 4: Simplify right side
    3,401.84x = 8,950,221.89
  5. Step 5: Solve for x
    x = 8,950,221.89/3,401.84
  6. Step 6: Final answer
    x = 2,630.99

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