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Finding the Fourth Proportional to 3,099.61, 4,649.60 and 1,126.41

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Solution

The fourth proportional to 3,099.61, 4,649.60 and 1,126.41 is: 1,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.61 : 4,649.60 = 1,126.41 : x
  2. Step 2: Convert to fraction form
    3,099.61/4,649.60 = 1,126.41/x
  3. Step 3: Cross multiply
    3,099.61x = 4,649.60 × 1,126.41
  4. Step 4: Simplify right side
    3,099.61x = 5,237,355.94
  5. Step 5: Solve for x
    x = 5,237,355.94/3,099.61
  6. Step 6: Final answer
    x = 1,689.68

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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.