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Finding the Fourth Proportional to 2,024, 3,036 and 656

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Solution

The fourth proportional to 2,024, 3,036 and 656 is: 984

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024 : 3,036 = 656 : x
  2. Step 2: Convert to fraction form
    2,024/3,036 = 656/x
  3. Step 3: Cross multiply
    2,024x = 3,036 × 656
  4. Step 4: Simplify right side
    2,024x = 1,991,616
  5. Step 5: Solve for x
    x = 1,991,616/2,024
  6. Step 6: Final answer
    x = 984

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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.