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Finding the Fourth Proportional to 2,797.69, 4,194.90 and 1,152.38

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Solution

The fourth proportional to 2,797.69, 4,194.90 and 1,152.38 is: 1,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.69 : 4,194.90 = 1,152.38 : x
  2. Step 2: Convert to fraction form
    2,797.69/4,194.90 = 1,152.38/x
  3. Step 3: Cross multiply
    2,797.69x = 4,194.90 × 1,152.38
  4. Step 4: Simplify right side
    2,797.69x = 4,834,118.86
  5. Step 5: Solve for x
    x = 4,834,118.86/2,797.69
  6. Step 6: Final answer
    x = 1,727.90

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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.