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Finding the Fourth Proportional to 2,662.43, 3,993.34 and 714.48

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Solution

The fourth proportional to 2,662.43, 3,993.34 and 714.48 is: 1,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.43 : 3,993.34 = 714.48 : x
  2. Step 2: Convert to fraction form
    2,662.43/3,993.34 = 714.48/x
  3. Step 3: Cross multiply
    2,662.43x = 3,993.34 × 714.48
  4. Step 4: Simplify right side
    2,662.43x = 2,853,161.56
  5. Step 5: Solve for x
    x = 2,853,161.56/2,662.43
  6. Step 6: Final answer
    x = 1,071.64

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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.