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Finding the Fourth Proportional to 2,879.86, 3,974.04 and 1,700.50

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Solution

The fourth proportional to 2,879.86, 3,974.04 and 1,700.50 is: 2,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.86 : 3,974.04 = 1,700.50 : x
  2. Step 2: Convert to fraction form
    2,879.86/3,974.04 = 1,700.50/x
  3. Step 3: Cross multiply
    2,879.86x = 3,974.04 × 1,700.50
  4. Step 4: Simplify right side
    2,879.86x = 6,757,855.02
  5. Step 5: Solve for x
    x = 6,757,855.02/2,879.86
  6. Step 6: Final answer
    x = 2,346.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.