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Finding the Fourth Proportional to 2,413.80, 3,617.87 and 1,112.54

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Solution

The fourth proportional to 2,413.80, 3,617.87 and 1,112.54 is: 1,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413.80 : 3,617.87 = 1,112.54 : x
  2. Step 2: Convert to fraction form
    2,413.80/3,617.87 = 1,112.54/x
  3. Step 3: Cross multiply
    2,413.80x = 3,617.87 × 1,112.54
  4. Step 4: Simplify right side
    2,413.80x = 4,025,001.44
  5. Step 5: Solve for x
    x = 4,025,001.44/2,413.80
  6. Step 6: Final answer
    x = 1,667.50

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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.