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Finding the Fourth Proportional to 1,334.01, 2,000.97 and 849.27

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Solution

The fourth proportional to 1,334.01, 2,000.97 and 849.27 is: 1,273.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.01 : 2,000.97 = 849.27 : x
  2. Step 2: Convert to fraction form
    1,334.01/2,000.97 = 849.27/x
  3. Step 3: Cross multiply
    1,334.01x = 2,000.97 × 849.27
  4. Step 4: Simplify right side
    1,334.01x = 1,699,363.79
  5. Step 5: Solve for x
    x = 1,699,363.79/1,334.01
  6. Step 6: Final answer
    x = 1,273.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.