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Finding the Fourth Proportional to 3,048.62, 4,207.10 and 1,651.37

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Solution

The fourth proportional to 3,048.62, 4,207.10 and 1,651.37 is: 2,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.62 : 4,207.10 = 1,651.37 : x
  2. Step 2: Convert to fraction form
    3,048.62/4,207.10 = 1,651.37/x
  3. Step 3: Cross multiply
    3,048.62x = 4,207.10 × 1,651.37
  4. Step 4: Simplify right side
    3,048.62x = 6,947,478.73
  5. Step 5: Solve for x
    x = 6,947,478.73/3,048.62
  6. Step 6: Final answer
    x = 2,278.89

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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.