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Finding the Fourth Proportional to 2,072.00, 2,855.61 and 1,697.78

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Solution

The fourth proportional to 2,072.00, 2,855.61 and 1,697.78 is: 2,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.00 : 2,855.61 = 1,697.78 : x
  2. Step 2: Convert to fraction form
    2,072.00/2,855.61 = 1,697.78/x
  3. Step 3: Cross multiply
    2,072.00x = 2,855.61 × 1,697.78
  4. Step 4: Simplify right side
    2,072.00x = 4,848,204.68
  5. Step 5: Solve for x
    x = 4,848,204.68/2,072.00
  6. Step 6: Final answer
    x = 2,339.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.