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Finding the Fourth Proportional to 2,401.82, 3,314.46 and 1,353.92

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Solution

The fourth proportional to 2,401.82, 3,314.46 and 1,353.92 is: 1,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.82 : 3,314.46 = 1,353.92 : x
  2. Step 2: Convert to fraction form
    2,401.82/3,314.46 = 1,353.92/x
  3. Step 3: Cross multiply
    2,401.82x = 3,314.46 × 1,353.92
  4. Step 4: Simplify right side
    2,401.82x = 4,487,513.68
  5. Step 5: Solve for x
    x = 4,487,513.68/2,401.82
  6. Step 6: Final answer
    x = 1,868.38

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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.