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Finding the Fourth Proportional to 3,401.63, 4,695.42 and 2,144.80

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Solution

The fourth proportional to 3,401.63, 4,695.42 and 2,144.80 is: 2,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.63 : 4,695.42 = 2,144.80 : x
  2. Step 2: Convert to fraction form
    3,401.63/4,695.42 = 2,144.80/x
  3. Step 3: Cross multiply
    3,401.63x = 4,695.42 × 2,144.80
  4. Step 4: Simplify right side
    3,401.63x = 10,070,736.82
  5. Step 5: Solve for x
    x = 10,070,736.82/3,401.63
  6. Step 6: Final answer
    x = 2,960.56

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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.