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Finding the Fourth Proportional to 2,297.66, 3,169.08 and 1,413.92

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Solution

The fourth proportional to 2,297.66, 3,169.08 and 1,413.92 is: 1,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.66 : 3,169.08 = 1,413.92 : x
  2. Step 2: Convert to fraction form
    2,297.66/3,169.08 = 1,413.92/x
  3. Step 3: Cross multiply
    2,297.66x = 3,169.08 × 1,413.92
  4. Step 4: Simplify right side
    2,297.66x = 4,480,825.59
  5. Step 5: Solve for x
    x = 4,480,825.59/2,297.66
  6. Step 6: Final answer
    x = 1,950.17

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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.