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Finding the Fourth Proportional to 3,092.82, 4,267.94 and 1,748.46

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Solution

The fourth proportional to 3,092.82, 4,267.94 and 1,748.46 is: 2,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.82 : 4,267.94 = 1,748.46 : x
  2. Step 2: Convert to fraction form
    3,092.82/4,267.94 = 1,748.46/x
  3. Step 3: Cross multiply
    3,092.82x = 4,267.94 × 1,748.46
  4. Step 4: Simplify right side
    3,092.82x = 7,462,322.37
  5. Step 5: Solve for x
    x = 7,462,322.37/3,092.82
  6. Step 6: Final answer
    x = 2,412.79

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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.