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Finding the Fourth Proportional to 3,413.17, 4,710.19 and 2,068.33

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Solution

The fourth proportional to 3,413.17, 4,710.19 and 2,068.33 is: 2,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.17 : 4,710.19 = 2,068.33 : x
  2. Step 2: Convert to fraction form
    3,413.17/4,710.19 = 2,068.33/x
  3. Step 3: Cross multiply
    3,413.17x = 4,710.19 × 2,068.33
  4. Step 4: Simplify right side
    3,413.17x = 9,742,227.28
  5. Step 5: Solve for x
    x = 9,742,227.28/3,413.17
  6. Step 6: Final answer
    x = 2,854.31

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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.