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Finding the Fourth Proportional to 2,471.12, 3,706.67 and 716.22

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Solution

The fourth proportional to 2,471.12, 3,706.67 and 716.22 is: 1,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.12 : 3,706.67 = 716.22 : x
  2. Step 2: Convert to fraction form
    2,471.12/3,706.67 = 716.22/x
  3. Step 3: Cross multiply
    2,471.12x = 3,706.67 × 716.22
  4. Step 4: Simplify right side
    2,471.12x = 2,654,792.98
  5. Step 5: Solve for x
    x = 2,654,792.98/2,471.12
  6. Step 6: Final answer
    x = 1,074.33

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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.