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Finding the Fourth Proportional to 3,047.74, 4,571.06 and 1,099.96

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Solution

The fourth proportional to 3,047.74, 4,571.06 and 1,099.96 is: 1,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.74 : 4,571.06 = 1,099.96 : x
  2. Step 2: Convert to fraction form
    3,047.74/4,571.06 = 1,099.96/x
  3. Step 3: Cross multiply
    3,047.74x = 4,571.06 × 1,099.96
  4. Step 4: Simplify right side
    3,047.74x = 5,027,960.30
  5. Step 5: Solve for x
    x = 5,027,960.30/3,047.74
  6. Step 6: Final answer
    x = 1,649.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.