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Finding the Fourth Proportional to 2,402.97, 3,604.50 and 942.18

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Solution

The fourth proportional to 2,402.97, 3,604.50 and 942.18 is: 1,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.97 : 3,604.50 = 942.18 : x
  2. Step 2: Convert to fraction form
    2,402.97/3,604.50 = 942.18/x
  3. Step 3: Cross multiply
    2,402.97x = 3,604.50 × 942.18
  4. Step 4: Simplify right side
    2,402.97x = 3,396,087.81
  5. Step 5: Solve for x
    x = 3,396,087.81/2,402.97
  6. Step 6: Final answer
    x = 1,413.29

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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.