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Finding the Fourth Proportional to 1,882, 2,823 and 514

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Solution

The fourth proportional to 1,882, 2,823 and 514 is: 771

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882 : 2,823 = 514 : x
  2. Step 2: Convert to fraction form
    1,882/2,823 = 514/x
  3. Step 3: Cross multiply
    1,882x = 2,823 × 514
  4. Step 4: Simplify right side
    1,882x = 1,451,022
  5. Step 5: Solve for x
    x = 1,451,022/1,882
  6. Step 6: Final answer
    x = 771

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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.