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Finding the Fourth Proportional to 2,708.43, 3,737.67 and 1,466.43

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Solution

The fourth proportional to 2,708.43, 3,737.67 and 1,466.43 is: 2,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.43 : 3,737.67 = 1,466.43 : x
  2. Step 2: Convert to fraction form
    2,708.43/3,737.67 = 1,466.43/x
  3. Step 3: Cross multiply
    2,708.43x = 3,737.67 × 1,466.43
  4. Step 4: Simplify right side
    2,708.43x = 5,481,031.42
  5. Step 5: Solve for x
    x = 5,481,031.42/2,708.43
  6. Step 6: Final answer
    x = 2,023.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.