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Finding the Fourth Proportional to 1,909.67, 2,634.62 and 1,413.50

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Solution

The fourth proportional to 1,909.67, 2,634.62 and 1,413.50 is: 1,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.67 : 2,634.62 = 1,413.50 : x
  2. Step 2: Convert to fraction form
    1,909.67/2,634.62 = 1,413.50/x
  3. Step 3: Cross multiply
    1,909.67x = 2,634.62 × 1,413.50
  4. Step 4: Simplify right side
    1,909.67x = 3,724,015.13
  5. Step 5: Solve for x
    x = 3,724,015.13/1,909.67
  6. Step 6: Final answer
    x = 1,950.09

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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.