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Finding the Fourth Proportional to 2,664.27, 3,996.40 and 716.47

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Solution

The fourth proportional to 2,664.27, 3,996.40 and 716.47 is: 1,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.27 : 3,996.40 = 716.47 : x
  2. Step 2: Convert to fraction form
    2,664.27/3,996.40 = 716.47/x
  3. Step 3: Cross multiply
    2,664.27x = 3,996.40 × 716.47
  4. Step 4: Simplify right side
    2,664.27x = 2,863,300.71
  5. Step 5: Solve for x
    x = 2,863,300.71/2,664.27
  6. Step 6: Final answer
    x = 1,074.70

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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.