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Finding the Fourth Proportional to 3,073.99, 4,611.45 and 1,099.47

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Solution

The fourth proportional to 3,073.99, 4,611.45 and 1,099.47 is: 1,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.99 : 4,611.45 = 1,099.47 : x
  2. Step 2: Convert to fraction form
    3,073.99/4,611.45 = 1,099.47/x
  3. Step 3: Cross multiply
    3,073.99x = 4,611.45 × 1,099.47
  4. Step 4: Simplify right side
    3,073.99x = 5,070,150.93
  5. Step 5: Solve for x
    x = 5,070,150.93/3,073.99
  6. Step 6: Final answer
    x = 1,649.37

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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.