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Finding the Fourth Proportional to 1,932.77, 2,685.73 and 1,912.70

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Solution

The fourth proportional to 1,932.77, 2,685.73 and 1,912.70 is: 2,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.77 : 2,685.73 = 1,912.70 : x
  2. Step 2: Convert to fraction form
    1,932.77/2,685.73 = 1,912.70/x
  3. Step 3: Cross multiply
    1,932.77x = 2,685.73 × 1,912.70
  4. Step 4: Simplify right side
    1,932.77x = 5,136,986.21
  5. Step 5: Solve for x
    x = 5,136,986.21/1,932.77
  6. Step 6: Final answer
    x = 2,657.84

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.