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Finding the Fourth Proportional to 3,046.54, 4,204.20 and 1,649.30

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Solution

The fourth proportional to 3,046.54, 4,204.20 and 1,649.30 is: 2,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.54 : 4,204.20 = 1,649.30 : x
  2. Step 2: Convert to fraction form
    3,046.54/4,204.20 = 1,649.30/x
  3. Step 3: Cross multiply
    3,046.54x = 4,204.20 × 1,649.30
  4. Step 4: Simplify right side
    3,046.54x = 6,933,987.06
  5. Step 5: Solve for x
    x = 6,933,987.06/3,046.54
  6. Step 6: Final answer
    x = 2,276.02

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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.