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Finding the Fourth Proportional to 2,413.24, 3,330.06 and 1,365.24

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Solution

The fourth proportional to 2,413.24, 3,330.06 and 1,365.24 is: 1,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.24 : 3,330.06 = 1,365.24 : x
  2. Step 2: Convert to fraction form
    2,413.24/3,330.06 = 1,365.24/x
  3. Step 3: Cross multiply
    2,413.24x = 3,330.06 × 1,365.24
  4. Step 4: Simplify right side
    2,413.24x = 4,546,331.11
  5. Step 5: Solve for x
    x = 4,546,331.11/2,413.24
  6. Step 6: Final answer
    x = 1,883.91

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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.