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Finding the Fourth Proportional to 2,297.63, 3,170.80 and 1,413.95

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Solution

The fourth proportional to 2,297.63, 3,170.80 and 1,413.95 is: 1,951.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.63 : 3,170.80 = 1,413.95 : x
  2. Step 2: Convert to fraction form
    2,297.63/3,170.80 = 1,413.95/x
  3. Step 3: Cross multiply
    2,297.63x = 3,170.80 × 1,413.95
  4. Step 4: Simplify right side
    2,297.63x = 4,483,338.57
  5. Step 5: Solve for x
    x = 4,483,338.57/2,297.63
  6. Step 6: Final answer
    x = 1,951.29

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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.