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Finding the Fourth Proportional to 2,026.52, 3,033.15 and 1,099.78

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Solution

The fourth proportional to 2,026.52, 3,033.15 and 1,099.78 is: 1,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.52 : 3,033.15 = 1,099.78 : x
  2. Step 2: Convert to fraction form
    2,026.52/3,033.15 = 1,099.78/x
  3. Step 3: Cross multiply
    2,026.52x = 3,033.15 × 1,099.78
  4. Step 4: Simplify right side
    2,026.52x = 3,335,786.00
  5. Step 5: Solve for x
    x = 3,335,786.00/2,026.52
  6. Step 6: Final answer
    x = 1,646.07

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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.