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Finding the Fourth Proportional to 3,392.62, 4,682.10 and 1,900.52

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Solution

The fourth proportional to 3,392.62, 4,682.10 and 1,900.52 is: 2,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.62 : 4,682.10 = 1,900.52 : x
  2. Step 2: Convert to fraction form
    3,392.62/4,682.10 = 1,900.52/x
  3. Step 3: Cross multiply
    3,392.62x = 4,682.10 × 1,900.52
  4. Step 4: Simplify right side
    3,392.62x = 8,898,424.69
  5. Step 5: Solve for x
    x = 8,898,424.69/3,392.62
  6. Step 6: Final answer
    x = 2,622.88

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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.