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Finding the Fourth Proportional to 3,093, 4,638.08 and 1,448.34

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Solution

The fourth proportional to 3,093, 4,638.08 and 1,448.34 is: 2,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093 : 4,638.08 = 1,448.34 : x
  2. Step 2: Convert to fraction form
    3,093/4,638.08 = 1,448.34/x
  3. Step 3: Cross multiply
    3,093x = 4,638.08 × 1,448.34
  4. Step 4: Simplify right side
    3,093x = 6,717,516.79
  5. Step 5: Solve for x
    x = 6,717,516.79/3,093
  6. Step 6: Final answer
    x = 2,171.85

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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.