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Finding the Fourth Proportional to 3,134.36, 4,324.02 and 2,015.09

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Solution

The fourth proportional to 3,134.36, 4,324.02 and 2,015.09 is: 2,779.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.36 : 4,324.02 = 2,015.09 : x
  2. Step 2: Convert to fraction form
    3,134.36/4,324.02 = 2,015.09/x
  3. Step 3: Cross multiply
    3,134.36x = 4,324.02 × 2,015.09
  4. Step 4: Simplify right side
    3,134.36x = 8,713,289.46
  5. Step 5: Solve for x
    x = 8,713,289.46/3,134.36
  6. Step 6: Final answer
    x = 2,779.93

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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.