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Finding the Fourth Proportional to 2,172.80, 3,259.16 and 711.96

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Solution

The fourth proportional to 2,172.80, 3,259.16 and 711.96 is: 1,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.80 : 3,259.16 = 711.96 : x
  2. Step 2: Convert to fraction form
    2,172.80/3,259.16 = 711.96/x
  3. Step 3: Cross multiply
    2,172.80x = 3,259.16 × 711.96
  4. Step 4: Simplify right side
    2,172.80x = 2,320,391.55
  5. Step 5: Solve for x
    x = 2,320,391.55/2,172.80
  6. Step 6: Final answer
    x = 1,067.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.