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Finding the Fourth Proportional to 3,099.77, 4,649.43 and 1,019.75

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Solution

The fourth proportional to 3,099.77, 4,649.43 and 1,019.75 is: 1,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.77 : 4,649.43 = 1,019.75 : x
  2. Step 2: Convert to fraction form
    3,099.77/4,649.43 = 1,019.75/x
  3. Step 3: Cross multiply
    3,099.77x = 4,649.43 × 1,019.75
  4. Step 4: Simplify right side
    3,099.77x = 4,741,256.24
  5. Step 5: Solve for x
    x = 4,741,256.24/3,099.77
  6. Step 6: Final answer
    x = 1,529.55

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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.