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Finding the Fourth Proportional to 3,413.16, 4,709.91 and 1,920.79

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Solution

The fourth proportional to 3,413.16, 4,709.91 and 1,920.79 is: 2,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.16 : 4,709.91 = 1,920.79 : x
  2. Step 2: Convert to fraction form
    3,413.16/4,709.91 = 1,920.79/x
  3. Step 3: Cross multiply
    3,413.16x = 4,709.91 × 1,920.79
  4. Step 4: Simplify right side
    3,413.16x = 9,046,748.03
  5. Step 5: Solve for x
    x = 9,046,748.03/3,413.16
  6. Step 6: Final answer
    x = 2,650.55

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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.