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Finding the Fourth Proportional to 2,716, 4,074 and 664

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Solution

The fourth proportional to 2,716, 4,074 and 664 is: 996

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716 : 4,074 = 664 : x
  2. Step 2: Convert to fraction form
    2,716/4,074 = 664/x
  3. Step 3: Cross multiply
    2,716x = 4,074 × 664
  4. Step 4: Simplify right side
    2,716x = 2,705,136
  5. Step 5: Solve for x
    x = 2,705,136/2,716
  6. Step 6: Final answer
    x = 996

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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.