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Finding the Fourth Proportional to 2,994.82, 4,502.37 and 2,413.90

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Solution

The fourth proportional to 2,994.82, 4,502.37 and 2,413.90 is: 3,629.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994.82 : 4,502.37 = 2,413.90 : x
  2. Step 2: Convert to fraction form
    2,994.82/4,502.37 = 2,413.90/x
  3. Step 3: Cross multiply
    2,994.82x = 4,502.37 × 2,413.90
  4. Step 4: Simplify right side
    2,994.82x = 10,868,258.87
  5. Step 5: Solve for x
    x = 10,868,258.87/2,994.82
  6. Step 6: Final answer
    x = 3,629.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.