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Finding the Fourth Proportional to 2,799.41, 4,198.75 and 1,155.74

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Solution

The fourth proportional to 2,799.41, 4,198.75 and 1,155.74 is: 1,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.41 : 4,198.75 = 1,155.74 : x
  2. Step 2: Convert to fraction form
    2,799.41/4,198.75 = 1,155.74/x
  3. Step 3: Cross multiply
    2,799.41x = 4,198.75 × 1,155.74
  4. Step 4: Simplify right side
    2,799.41x = 4,852,645.94
  5. Step 5: Solve for x
    x = 4,852,645.94/2,799.41
  6. Step 6: Final answer
    x = 1,733.45

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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.