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Finding the Fourth Proportional to 2,789.69, 4,178.57 and 2,095.31

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Solution

The fourth proportional to 2,789.69, 4,178.57 and 2,095.31 is: 3,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.69 : 4,178.57 = 2,095.31 : x
  2. Step 2: Convert to fraction form
    2,789.69/4,178.57 = 2,095.31/x
  3. Step 3: Cross multiply
    2,789.69x = 4,178.57 × 2,095.31
  4. Step 4: Simplify right side
    2,789.69x = 8,755,368.14
  5. Step 5: Solve for x
    x = 8,755,368.14/2,789.69
  6. Step 6: Final answer
    x = 3,138.48

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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.