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Finding the Fourth Proportional to 1,909.97, 2,633.76 and 1,413.65

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Solution

The fourth proportional to 1,909.97, 2,633.76 and 1,413.65 is: 1,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.97 : 2,633.76 = 1,413.65 : x
  2. Step 2: Convert to fraction form
    1,909.97/2,633.76 = 1,413.65/x
  3. Step 3: Cross multiply
    1,909.97x = 2,633.76 × 1,413.65
  4. Step 4: Simplify right side
    1,909.97x = 3,723,214.82
  5. Step 5: Solve for x
    x = 3,723,214.82/1,909.97
  6. Step 6: Final answer
    x = 1,949.36

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