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Finding the Fourth Proportional to 2,974.39, 4,101.19 and 2,413.10

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Solution

The fourth proportional to 2,974.39, 4,101.19 and 2,413.10 is: 3,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.39 : 4,101.19 = 2,413.10 : x
  2. Step 2: Convert to fraction form
    2,974.39/4,101.19 = 2,413.10/x
  3. Step 3: Cross multiply
    2,974.39x = 4,101.19 × 2,413.10
  4. Step 4: Simplify right side
    2,974.39x = 9,896,585.81
  5. Step 5: Solve for x
    x = 9,896,585.81/2,974.39
  6. Step 6: Final answer
    x = 3,327.27

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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.