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Finding the Fourth Proportional to 2,413.70, 3,331.07 and 1,351.56

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Solution

The fourth proportional to 2,413.70, 3,331.07 and 1,351.56 is: 1,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.70 : 3,331.07 = 1,351.56 : x
  2. Step 2: Convert to fraction form
    2,413.70/3,331.07 = 1,351.56/x
  3. Step 3: Cross multiply
    2,413.70x = 3,331.07 × 1,351.56
  4. Step 4: Simplify right side
    2,413.70x = 4,502,134.21
  5. Step 5: Solve for x
    x = 4,502,134.21/2,413.70
  6. Step 6: Final answer
    x = 1,865.25

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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.