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Finding the Fourth Proportional to 1,512.14, 2,086.76 and 849.22

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Solution

The fourth proportional to 1,512.14, 2,086.76 and 849.22 is: 1,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.14 : 2,086.76 = 849.22 : x
  2. Step 2: Convert to fraction form
    1,512.14/2,086.76 = 849.22/x
  3. Step 3: Cross multiply
    1,512.14x = 2,086.76 × 849.22
  4. Step 4: Simplify right side
    1,512.14x = 1,772,115.23
  5. Step 5: Solve for x
    x = 1,772,115.23/1,512.14
  6. Step 6: Final answer
    x = 1,171.93

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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.