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Finding the Fourth Proportional to 3,093.63, 4,640.50 and 902.38

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Solution

The fourth proportional to 3,093.63, 4,640.50 and 902.38 is: 1,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.63 : 4,640.50 = 902.38 : x
  2. Step 2: Convert to fraction form
    3,093.63/4,640.50 = 902.38/x
  3. Step 3: Cross multiply
    3,093.63x = 4,640.50 × 902.38
  4. Step 4: Simplify right side
    3,093.63x = 4,187,494.39
  5. Step 5: Solve for x
    x = 4,187,494.39/3,093.63
  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.