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Finding the Fourth Proportional to 1,786.38, 2,677.78 and 861.67

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Solution

The fourth proportional to 1,786.38, 2,677.78 and 861.67 is: 1,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.38 : 2,677.78 = 861.67 : x
  2. Step 2: Convert to fraction form
    1,786.38/2,677.78 = 861.67/x
  3. Step 3: Cross multiply
    1,786.38x = 2,677.78 × 861.67
  4. Step 4: Simplify right side
    1,786.38x = 2,307,362.69
  5. Step 5: Solve for x
    x = 2,307,362.69/1,786.38
  6. Step 6: Final answer
    x = 1,291.64

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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.