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Finding the Fourth Proportional to 2,000.28, 2,999.97 and 701.75

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Solution

The fourth proportional to 2,000.28, 2,999.97 and 701.75 is: 1,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.28 : 2,999.97 = 701.75 : x
  2. Step 2: Convert to fraction form
    2,000.28/2,999.97 = 701.75/x
  3. Step 3: Cross multiply
    2,000.28x = 2,999.97 × 701.75
  4. Step 4: Simplify right side
    2,000.28x = 2,105,228.95
  5. Step 5: Solve for x
    x = 2,105,228.95/2,000.28
  6. Step 6: Final answer
    x = 1,052.47

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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.