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Finding the Fourth Proportional to 3,046.80, 4,204.54 and 1,649.54

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Solution

The fourth proportional to 3,046.80, 4,204.54 and 1,649.54 is: 2,276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.80 : 4,204.54 = 1,649.54 : x
  2. Step 2: Convert to fraction form
    3,046.80/4,204.54 = 1,649.54/x
  3. Step 3: Cross multiply
    3,046.80x = 4,204.54 × 1,649.54
  4. Step 4: Simplify right side
    3,046.80x = 6,935,556.91
  5. Step 5: Solve for x
    x = 6,935,556.91/3,046.80
  6. Step 6: Final answer
    x = 2,276.34

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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.