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Finding the Fourth Proportional to 2,230, 3,345 and 862

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Solution

The fourth proportional to 2,230, 3,345 and 862 is: 1,293

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230 : 3,345 = 862 : x
  2. Step 2: Convert to fraction form
    2,230/3,345 = 862/x
  3. Step 3: Cross multiply
    2,230x = 3,345 × 862
  4. Step 4: Simplify right side
    2,230x = 2,883,390
  5. Step 5: Solve for x
    x = 2,883,390/2,230
  6. Step 6: Final answer
    x = 1,293

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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.