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Finding the Fourth Proportional to 1,909.71, 2,634.66 and 1,413.54

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Solution

The fourth proportional to 1,909.71, 2,634.66 and 1,413.54 is: 1,950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.71 : 2,634.66 = 1,413.54 : x
  2. Step 2: Convert to fraction form
    1,909.71/2,634.66 = 1,413.54/x
  3. Step 3: Cross multiply
    1,909.71x = 2,634.66 × 1,413.54
  4. Step 4: Simplify right side
    1,909.71x = 3,724,197.30
  5. Step 5: Solve for x
    x = 3,724,197.30/1,909.71
  6. Step 6: Final answer
    x = 1,950.14

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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.