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Finding the Fourth Proportional to 3,103.66, 4,283.02 and 1,687.34

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Solution

The fourth proportional to 3,103.66, 4,283.02 and 1,687.34 is: 2,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.66 : 4,283.02 = 1,687.34 : x
  2. Step 2: Convert to fraction form
    3,103.66/4,283.02 = 1,687.34/x
  3. Step 3: Cross multiply
    3,103.66x = 4,283.02 × 1,687.34
  4. Step 4: Simplify right side
    3,103.66x = 7,226,910.97
  5. Step 5: Solve for x
    x = 7,226,910.97/3,103.66
  6. Step 6: Final answer
    x = 2,328.51

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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.