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Finding the Fourth Proportional to 3,164.97, 4,367.42 and 1,748.69

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Solution

The fourth proportional to 3,164.97, 4,367.42 and 1,748.69 is: 2,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.97 : 4,367.42 = 1,748.69 : x
  2. Step 2: Convert to fraction form
    3,164.97/4,367.42 = 1,748.69/x
  3. Step 3: Cross multiply
    3,164.97x = 4,367.42 × 1,748.69
  4. Step 4: Simplify right side
    3,164.97x = 7,637,256.03
  5. Step 5: Solve for x
    x = 7,637,256.03/3,164.97
  6. Step 6: Final answer
    x = 2,413.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.