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Finding the Fourth Proportional to 2,097.53, 2,891.03 and 1,796.61

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Solution

The fourth proportional to 2,097.53, 2,891.03 and 1,796.61 is: 2,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.53 : 2,891.03 = 1,796.61 : x
  2. Step 2: Convert to fraction form
    2,097.53/2,891.03 = 1,796.61/x
  3. Step 3: Cross multiply
    2,097.53x = 2,891.03 × 1,796.61
  4. Step 4: Simplify right side
    2,097.53x = 5,194,055.27
  5. Step 5: Solve for x
    x = 5,194,055.27/2,097.53
  6. Step 6: Final answer
    x = 2,476.27

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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.