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Finding the Fourth Proportional to 2,809, 4,211.34 and 1,508.68

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Solution

The fourth proportional to 2,809, 4,211.34 and 1,508.68 is: 2,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809 : 4,211.34 = 1,508.68 : x
  2. Step 2: Convert to fraction form
    2,809/4,211.34 = 1,508.68/x
  3. Step 3: Cross multiply
    2,809x = 4,211.34 × 1,508.68
  4. Step 4: Simplify right side
    2,809x = 6,353,564.43
  5. Step 5: Solve for x
    x = 6,353,564.43/2,809
  6. Step 6: Final answer
    x = 2,261.86

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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.