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Finding the Fourth Proportional to 3,047.01, 4,204.86 and 1,649.75

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Solution

The fourth proportional to 3,047.01, 4,204.86 and 1,649.75 is: 2,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.01 : 4,204.86 = 1,649.75 : x
  2. Step 2: Convert to fraction form
    3,047.01/4,204.86 = 1,649.75/x
  3. Step 3: Cross multiply
    3,047.01x = 4,204.86 × 1,649.75
  4. Step 4: Simplify right side
    3,047.01x = 6,936,959.54
  5. Step 5: Solve for x
    x = 6,936,959.54/3,047.01
  6. Step 6: Final answer
    x = 2,276.64

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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.