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Finding the Fourth Proportional to 2,879.87, 4,315.76 and 1,645.43

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Solution

The fourth proportional to 2,879.87, 4,315.76 and 1,645.43 is: 2,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.87 : 4,315.76 = 1,645.43 : x
  2. Step 2: Convert to fraction form
    2,879.87/4,315.76 = 1,645.43/x
  3. Step 3: Cross multiply
    2,879.87x = 4,315.76 × 1,645.43
  4. Step 4: Simplify right side
    2,879.87x = 7,101,272.75
  5. Step 5: Solve for x
    x = 7,101,272.75/2,879.87
  6. Step 6: Final answer
    x = 2,465.83

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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.