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Finding the Fourth Proportional to 1,849.38, 2,550.52 and 1,600.62

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Solution

The fourth proportional to 1,849.38, 2,550.52 and 1,600.62 is: 2,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.38 : 2,550.52 = 1,600.62 : x
  2. Step 2: Convert to fraction form
    1,849.38/2,550.52 = 1,600.62/x
  3. Step 3: Cross multiply
    1,849.38x = 2,550.52 × 1,600.62
  4. Step 4: Simplify right side
    1,849.38x = 4,082,413.32
  5. Step 5: Solve for x
    x = 4,082,413.32/1,849.38
  6. Step 6: Final answer
    x = 2,207.45

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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.