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Finding the Fourth Proportional to 3,047.56, 4,570.82 and 1,099.48

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Solution

The fourth proportional to 3,047.56, 4,570.82 and 1,099.48 is: 1,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.56 : 4,570.82 = 1,099.48 : x
  2. Step 2: Convert to fraction form
    3,047.56/4,570.82 = 1,099.48/x
  3. Step 3: Cross multiply
    3,047.56x = 4,570.82 × 1,099.48
  4. Step 4: Simplify right side
    3,047.56x = 5,025,525.17
  5. Step 5: Solve for x
    x = 5,025,525.17/3,047.56
  6. Step 6: Final answer
    x = 1,649.03

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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.