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Finding the Fourth Proportional to 3,099.01, 4,277.43 and 1,919.38

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Solution

The fourth proportional to 3,099.01, 4,277.43 and 1,919.38 is: 2,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.01 : 4,277.43 = 1,919.38 : x
  2. Step 2: Convert to fraction form
    3,099.01/4,277.43 = 1,919.38/x
  3. Step 3: Cross multiply
    3,099.01x = 4,277.43 × 1,919.38
  4. Step 4: Simplify right side
    3,099.01x = 8,210,013.59
  5. Step 5: Solve for x
    x = 8,210,013.59/3,099.01
  6. Step 6: Final answer
    x = 2,649.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.