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Finding the Fourth Proportional to 1,512.22, 2,086.85 and 849.05

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Solution

The fourth proportional to 1,512.22, 2,086.85 and 849.05 is: 1,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.22 : 2,086.85 = 849.05 : x
  2. Step 2: Convert to fraction form
    1,512.22/2,086.85 = 849.05/x
  3. Step 3: Cross multiply
    1,512.22x = 2,086.85 × 849.05
  4. Step 4: Simplify right side
    1,512.22x = 1,771,839.99
  5. Step 5: Solve for x
    x = 1,771,839.99/1,512.22
  6. Step 6: Final answer
    x = 1,171.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.