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Finding the Fourth Proportional to 3,047.61, 4,571.42 and 1,099.82

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Solution

The fourth proportional to 3,047.61, 4,571.42 and 1,099.82 is: 1,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.61 : 4,571.42 = 1,099.82 : x
  2. Step 2: Convert to fraction form
    3,047.61/4,571.42 = 1,099.82/x
  3. Step 3: Cross multiply
    3,047.61x = 4,571.42 × 1,099.82
  4. Step 4: Simplify right side
    3,047.61x = 5,027,739.14
  5. Step 5: Solve for x
    x = 5,027,739.14/3,047.61
  6. Step 6: Final answer
    x = 1,649.73

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1.5x scale

Why These Related Problems?

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