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Finding the Fourth Proportional to 1,775.26, 2,660.01 and 1,286.02

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Solution

The fourth proportional to 1,775.26, 2,660.01 and 1,286.02 is: 1,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.26 : 2,660.01 = 1,286.02 : x
  2. Step 2: Convert to fraction form
    1,775.26/2,660.01 = 1,286.02/x
  3. Step 3: Cross multiply
    1,775.26x = 2,660.01 × 1,286.02
  4. Step 4: Simplify right side
    1,775.26x = 3,420,826.06
  5. Step 5: Solve for x
    x = 3,420,826.06/1,775.26
  6. Step 6: Final answer
    x = 1,926.94

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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.