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Finding the Fourth Proportional to 1,874, 2,811 and 506

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Solution

The fourth proportional to 1,874, 2,811 and 506 is: 759

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874 : 2,811 = 506 : x
  2. Step 2: Convert to fraction form
    1,874/2,811 = 506/x
  3. Step 3: Cross multiply
    1,874x = 2,811 × 506
  4. Step 4: Simplify right side
    1,874x = 1,422,366
  5. Step 5: Solve for x
    x = 1,422,366/1,874
  6. Step 6: Final answer
    x = 759

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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.