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Finding the Fourth Proportional to 2,142, 3,213 and 774

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Solution

The fourth proportional to 2,142, 3,213 and 774 is: 1,161

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 3,213 = 774 : x
  2. Step 2: Convert to fraction form
    2,142/3,213 = 774/x
  3. Step 3: Cross multiply
    2,142x = 3,213 × 774
  4. Step 4: Simplify right side
    2,142x = 2,486,862
  5. Step 5: Solve for x
    x = 2,486,862/2,142
  6. Step 6: Final answer
    x = 1,161

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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.