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Finding the Fourth Proportional to 2,026.78, 2,797.64 and 1,187.75

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Solution

The fourth proportional to 2,026.78, 2,797.64 and 1,187.75 is: 1,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.78 : 2,797.64 = 1,187.75 : x
  2. Step 2: Convert to fraction form
    2,026.78/2,797.64 = 1,187.75/x
  3. Step 3: Cross multiply
    2,026.78x = 2,797.64 × 1,187.75
  4. Step 4: Simplify right side
    2,026.78x = 3,322,896.91
  5. Step 5: Solve for x
    x = 3,322,896.91/2,026.78
  6. Step 6: Final answer
    x = 1,639.50

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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.