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Finding the Fourth Proportional to 1,851.28, 2,766.08 and 1,786.70

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Solution

The fourth proportional to 1,851.28, 2,766.08 and 1,786.70 is: 2,669.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.28 : 2,766.08 = 1,786.70 : x
  2. Step 2: Convert to fraction form
    1,851.28/2,766.08 = 1,786.70/x
  3. Step 3: Cross multiply
    1,851.28x = 2,766.08 × 1,786.70
  4. Step 4: Simplify right side
    1,851.28x = 4,942,155.14
  5. Step 5: Solve for x
    x = 4,942,155.14/1,851.28
  6. Step 6: Final answer
    x = 2,669.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.