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Finding the Fourth Proportional to 2,363.18, 3,544.97 and 902.34

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Solution

The fourth proportional to 2,363.18, 3,544.97 and 902.34 is: 1,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.18 : 3,544.97 = 902.34 : x
  2. Step 2: Convert to fraction form
    2,363.18/3,544.97 = 902.34/x
  3. Step 3: Cross multiply
    2,363.18x = 3,544.97 × 902.34
  4. Step 4: Simplify right side
    2,363.18x = 3,198,763.72
  5. Step 5: Solve for x
    x = 3,198,763.72/2,363.18
  6. Step 6: Final answer
    x = 1,353.59

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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.