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Finding the Fourth Proportional to 3,046.94, 4,204.77 and 1,649.69

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Solution

The fourth proportional to 3,046.94, 4,204.77 and 1,649.69 is: 2,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.94 : 4,204.77 = 1,649.69 : x
  2. Step 2: Convert to fraction form
    3,046.94/4,204.77 = 1,649.69/x
  3. Step 3: Cross multiply
    3,046.94x = 4,204.77 × 1,649.69
  4. Step 4: Simplify right side
    3,046.94x = 6,936,567.02
  5. Step 5: Solve for x
    x = 6,936,567.02/3,046.94
  6. Step 6: Final answer
    x = 2,276.57

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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.