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Finding the Fourth Proportional to 2,859.59, 4,289.78 and 779.67

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Solution

The fourth proportional to 2,859.59, 4,289.78 and 779.67 is: 1,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.59 : 4,289.78 = 779.67 : x
  2. Step 2: Convert to fraction form
    2,859.59/4,289.78 = 779.67/x
  3. Step 3: Cross multiply
    2,859.59x = 4,289.78 × 779.67
  4. Step 4: Simplify right side
    2,859.59x = 3,344,614.72
  5. Step 5: Solve for x
    x = 3,344,614.72/2,859.59
  6. Step 6: Final answer
    x = 1,169.61

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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.