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Finding the Fourth Proportional to 2,084, 3,126.42 and 929.75

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Solution

The fourth proportional to 2,084, 3,126.42 and 929.75 is: 1,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084 : 3,126.42 = 929.75 : x
  2. Step 2: Convert to fraction form
    2,084/3,126.42 = 929.75/x
  3. Step 3: Cross multiply
    2,084x = 3,126.42 × 929.75
  4. Step 4: Simplify right side
    2,084x = 2,906,789.00
  5. Step 5: Solve for x
    x = 2,906,789.00/2,084
  6. Step 6: Final answer
    x = 1,394.81

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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.