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Finding the Fourth Proportional to 2,101.66, 3,150.96 and 991.14

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Solution

The fourth proportional to 2,101.66, 3,150.96 and 991.14 is: 1,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.66 : 3,150.96 = 991.14 : x
  2. Step 2: Convert to fraction form
    2,101.66/3,150.96 = 991.14/x
  3. Step 3: Cross multiply
    2,101.66x = 3,150.96 × 991.14
  4. Step 4: Simplify right side
    2,101.66x = 3,123,042.49
  5. Step 5: Solve for x
    x = 3,123,042.49/2,101.66
  6. Step 6: Final answer
    x = 1,485.99

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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.