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Finding the Fourth Proportional to 2,468, 3,702 and 644

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Solution

The fourth proportional to 2,468, 3,702 and 644 is: 966

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468 : 3,702 = 644 : x
  2. Step 2: Convert to fraction form
    2,468/3,702 = 644/x
  3. Step 3: Cross multiply
    2,468x = 3,702 × 644
  4. Step 4: Simplify right side
    2,468x = 2,384,088
  5. Step 5: Solve for x
    x = 2,384,088/2,468
  6. Step 6: Final answer
    x = 966

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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.