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Finding the Fourth Proportional to 1,879.38, 2,813.86 and 1,415.78

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Solution

The fourth proportional to 1,879.38, 2,813.86 and 1,415.78 is: 2,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.38 : 2,813.86 = 1,415.78 : x
  2. Step 2: Convert to fraction form
    1,879.38/2,813.86 = 1,415.78/x
  3. Step 3: Cross multiply
    1,879.38x = 2,813.86 × 1,415.78
  4. Step 4: Simplify right side
    1,879.38x = 3,983,808.95
  5. Step 5: Solve for x
    x = 3,983,808.95/1,879.38
  6. Step 6: Final answer
    x = 2,119.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.