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Finding the Fourth Proportional to 2,048.00, 3,071.97 and 951.75

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Solution

The fourth proportional to 2,048.00, 3,071.97 and 951.75 is: 1,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.00 : 3,071.97 = 951.75 : x
  2. Step 2: Convert to fraction form
    2,048.00/3,071.97 = 951.75/x
  3. Step 3: Cross multiply
    2,048.00x = 3,071.97 × 951.75
  4. Step 4: Simplify right side
    2,048.00x = 2,923,747.45
  5. Step 5: Solve for x
    x = 2,923,747.45/2,048.00
  6. Step 6: Final answer
    x = 1,427.61

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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.