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Finding the Fourth Proportional to 3,172.06, 4,751.97 and 1,781.18

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Solution

The fourth proportional to 3,172.06, 4,751.97 and 1,781.18 is: 2,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.06 : 4,751.97 = 1,781.18 : x
  2. Step 2: Convert to fraction form
    3,172.06/4,751.97 = 1,781.18/x
  3. Step 3: Cross multiply
    3,172.06x = 4,751.97 × 1,781.18
  4. Step 4: Simplify right side
    3,172.06x = 8,464,113.92
  5. Step 5: Solve for x
    x = 8,464,113.92/3,172.06
  6. Step 6: Final answer
    x = 2,668.33

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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.