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Finding the Fourth Proportional to 1,896.66, 2,617.65 and 1,336.14

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Solution

The fourth proportional to 1,896.66, 2,617.65 and 1,336.14 is: 1,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.66 : 2,617.65 = 1,336.14 : x
  2. Step 2: Convert to fraction form
    1,896.66/2,617.65 = 1,336.14/x
  3. Step 3: Cross multiply
    1,896.66x = 2,617.65 × 1,336.14
  4. Step 4: Simplify right side
    1,896.66x = 3,497,546.87
  5. Step 5: Solve for x
    x = 3,497,546.87/1,896.66
  6. Step 6: Final answer
    x = 1,844.06

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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.