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Finding the Fourth Proportional to 3,046.36, 4,204.00 and 1,649.11

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Solution

The fourth proportional to 3,046.36, 4,204.00 and 1,649.11 is: 2,275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.36 : 4,204.00 = 1,649.11 : x
  2. Step 2: Convert to fraction form
    3,046.36/4,204.00 = 1,649.11/x
  3. Step 3: Cross multiply
    3,046.36x = 4,204.00 × 1,649.11
  4. Step 4: Simplify right side
    3,046.36x = 6,932,857.87
  5. Step 5: Solve for x
    x = 6,932,857.87/3,046.36
  6. Step 6: Final answer
    x = 2,275.78

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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.