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Finding the Fourth Proportional to 2,026.84, 2,796.24 and 1,240.60

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Solution

The fourth proportional to 2,026.84, 2,796.24 and 1,240.60 is: 1,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.84 : 2,796.24 = 1,240.60 : x
  2. Step 2: Convert to fraction form
    2,026.84/2,796.24 = 1,240.60/x
  3. Step 3: Cross multiply
    2,026.84x = 2,796.24 × 1,240.60
  4. Step 4: Simplify right side
    2,026.84x = 3,469,015.34
  5. Step 5: Solve for x
    x = 3,469,015.34/2,026.84
  6. Step 6: Final answer
    x = 1,711.54

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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.