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Finding the Fourth Proportional to 3,047.06, 4,204.92 and 1,649.80

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Solution

The fourth proportional to 3,047.06, 4,204.92 and 1,649.80 is: 2,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.06 : 4,204.92 = 1,649.80 : x
  2. Step 2: Convert to fraction form
    3,047.06/4,204.92 = 1,649.80/x
  3. Step 3: Cross multiply
    3,047.06x = 4,204.92 × 1,649.80
  4. Step 4: Simplify right side
    3,047.06x = 6,937,277.02
  5. Step 5: Solve for x
    x = 6,937,277.02/3,047.06
  6. Step 6: Final answer
    x = 2,276.71

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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.