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Finding the Fourth Proportional to 2,757.95, 4,134.59 and 1,196.77

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Solution

The fourth proportional to 2,757.95, 4,134.59 and 1,196.77 is: 1,794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.95 : 4,134.59 = 1,196.77 : x
  2. Step 2: Convert to fraction form
    2,757.95/4,134.59 = 1,196.77/x
  3. Step 3: Cross multiply
    2,757.95x = 4,134.59 × 1,196.77
  4. Step 4: Simplify right side
    2,757.95x = 4,948,150.28
  5. Step 5: Solve for x
    x = 4,948,150.28/2,757.95
  6. Step 6: Final answer
    x = 1,794.14

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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.