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Finding the Fourth Proportional to 2,403.87, 3,606.27 and 942.22

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Solution

The fourth proportional to 2,403.87, 3,606.27 and 942.22 is: 1,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.87 : 3,606.27 = 942.22 : x
  2. Step 2: Convert to fraction form
    2,403.87/3,606.27 = 942.22/x
  3. Step 3: Cross multiply
    2,403.87x = 3,606.27 × 942.22
  4. Step 4: Simplify right side
    2,403.87x = 3,397,899.72
  5. Step 5: Solve for x
    x = 3,397,899.72/2,403.87
  6. Step 6: Final answer
    x = 1,413.51

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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.