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Finding the Fourth Proportional to 2,413.26, 3,330.26 and 1,365.30

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Solution

The fourth proportional to 2,413.26, 3,330.26 and 1,365.30 is: 1,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.26 : 3,330.26 = 1,365.30 : x
  2. Step 2: Convert to fraction form
    2,413.26/3,330.26 = 1,365.30/x
  3. Step 3: Cross multiply
    2,413.26x = 3,330.26 × 1,365.30
  4. Step 4: Simplify right side
    2,413.26x = 4,546,803.98
  5. Step 5: Solve for x
    x = 4,546,803.98/2,413.26
  6. Step 6: Final answer
    x = 1,884.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.