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Finding the Fourth Proportional to 3,046.50, 4,204.17 and 1,649.25

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Solution

The fourth proportional to 3,046.50, 4,204.17 and 1,649.25 is: 2,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.50 : 4,204.17 = 1,649.25 : x
  2. Step 2: Convert to fraction form
    3,046.50/4,204.17 = 1,649.25/x
  3. Step 3: Cross multiply
    3,046.50x = 4,204.17 × 1,649.25
  4. Step 4: Simplify right side
    3,046.50x = 6,933,727.37
  5. Step 5: Solve for x
    x = 6,933,727.37/3,046.50
  6. Step 6: Final answer
    x = 2,275.97

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