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Finding the Fourth Proportional to 2,754, 4,131 and 702

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Solution

The fourth proportional to 2,754, 4,131 and 702 is: 1,053

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754 : 4,131 = 702 : x
  2. Step 2: Convert to fraction form
    2,754/4,131 = 702/x
  3. Step 3: Cross multiply
    2,754x = 4,131 × 702
  4. Step 4: Simplify right side
    2,754x = 2,899,962
  5. Step 5: Solve for x
    x = 2,899,962/2,754
  6. Step 6: Final answer
    x = 1,053

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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.