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Finding the Fourth Proportional to 2,403.62, 3,604.82 and 942.78

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Solution

The fourth proportional to 2,403.62, 3,604.82 and 942.78 is: 1,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.62 : 3,604.82 = 942.78 : x
  2. Step 2: Convert to fraction form
    2,403.62/3,604.82 = 942.78/x
  3. Step 3: Cross multiply
    2,403.62x = 3,604.82 × 942.78
  4. Step 4: Simplify right side
    2,403.62x = 3,398,552.20
  5. Step 5: Solve for x
    x = 3,398,552.20/2,403.62
  6. Step 6: Final answer
    x = 1,413.93

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