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Finding the Fourth Proportional to 2,297.80, 3,171.14 and 1,413.91

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Solution

The fourth proportional to 2,297.80, 3,171.14 and 1,413.91 is: 1,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.80 : 3,171.14 = 1,413.91 : x
  2. Step 2: Convert to fraction form
    2,297.80/3,171.14 = 1,413.91/x
  3. Step 3: Cross multiply
    2,297.80x = 3,171.14 × 1,413.91
  4. Step 4: Simplify right side
    2,297.80x = 4,483,706.56
  5. Step 5: Solve for x
    x = 4,483,706.56/2,297.80
  6. Step 6: Final answer
    x = 1,951.30

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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.