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Finding the Fourth Proportional to 4,242.36, 6,363.26 and 1,608.78

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Solution

The fourth proportional to 4,242.36, 6,363.26 and 1,608.78 is: 2,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.36 : 6,363.26 = 1,608.78 : x
  2. Step 2: Convert to fraction form
    4,242.36/6,363.26 = 1,608.78/x
  3. Step 3: Cross multiply
    4,242.36x = 6,363.26 × 1,608.78
  4. Step 4: Simplify right side
    4,242.36x = 10,237,085.42
  5. Step 5: Solve for x
    x = 10,237,085.42/4,242.36
  6. Step 6: Final answer
    x = 2,413.06

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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.