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Finding the Fourth Proportional to 3,331, 4,993.68 and 2,232

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Solution

The fourth proportional to 3,331, 4,993.68 and 2,232 is: 3,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331 : 4,993.68 = 2,232 : x
  2. Step 2: Convert to fraction form
    3,331/4,993.68 = 2,232/x
  3. Step 3: Cross multiply
    3,331x = 4,993.68 × 2,232
  4. Step 4: Simplify right side
    3,331x = 11,145,893.76
  5. Step 5: Solve for x
    x = 11,145,893.76/3,331
  6. Step 6: Final answer
    x = 3,346.11

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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.