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Finding the Fourth Proportional to 1,857.13, 2,780.83 and 1,197.99

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Solution

The fourth proportional to 1,857.13, 2,780.83 and 1,197.99 is: 1,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.13 : 2,780.83 = 1,197.99 : x
  2. Step 2: Convert to fraction form
    1,857.13/2,780.83 = 1,197.99/x
  3. Step 3: Cross multiply
    1,857.13x = 2,780.83 × 1,197.99
  4. Step 4: Simplify right side
    1,857.13x = 3,331,408.03
  5. Step 5: Solve for x
    x = 3,331,408.03/1,857.13
  6. Step 6: Final answer
    x = 1,793.85

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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.