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Finding the Fourth Proportional to 1,789.76, 2,685.71 and 866.27

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Solution

The fourth proportional to 1,789.76, 2,685.71 and 866.27 is: 1,299.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.76 : 2,685.71 = 866.27 : x
  2. Step 2: Convert to fraction form
    1,789.76/2,685.71 = 866.27/x
  3. Step 3: Cross multiply
    1,789.76x = 2,685.71 × 866.27
  4. Step 4: Simplify right side
    1,789.76x = 2,326,558.88
  5. Step 5: Solve for x
    x = 2,326,558.88/1,789.76
  6. Step 6: Final answer
    x = 1,299.93

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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.