Home / 2,297.57-3,169.87-1,413.05

Finding the Fourth Proportional to 2,297.57, 3,169.87 and 1,413.05

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Solution

The fourth proportional to 2,297.57, 3,169.87 and 1,413.05 is: 1,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.57 : 3,169.87 = 1,413.05 : x
  2. Step 2: Convert to fraction form
    2,297.57/3,169.87 = 1,413.05/x
  3. Step 3: Cross multiply
    2,297.57x = 3,169.87 × 1,413.05
  4. Step 4: Simplify right side
    2,297.57x = 4,479,165.42
  5. Step 5: Solve for x
    x = 4,479,165.42/2,297.57
  6. Step 6: Final answer
    x = 1,949.53

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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.