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Finding the Fourth Proportional to 2,708.17, 3,737.00 and 2,000.43

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Solution

The fourth proportional to 2,708.17, 3,737.00 and 2,000.43 is: 2,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.17 : 3,737.00 = 2,000.43 : x
  2. Step 2: Convert to fraction form
    2,708.17/3,737.00 = 2,000.43/x
  3. Step 3: Cross multiply
    2,708.17x = 3,737.00 × 2,000.43
  4. Step 4: Simplify right side
    2,708.17x = 7,475,611.91
  5. Step 5: Solve for x
    x = 7,475,611.91/2,708.17
  6. Step 6: Final answer
    x = 2,760.39

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Why These Related Problems?

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