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Finding the Fourth Proportional to 2,610.52, 3,917.03 and 1,294.39

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Solution

The fourth proportional to 2,610.52, 3,917.03 and 1,294.39 is: 1,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.52 : 3,917.03 = 1,294.39 : x
  2. Step 2: Convert to fraction form
    2,610.52/3,917.03 = 1,294.39/x
  3. Step 3: Cross multiply
    2,610.52x = 3,917.03 × 1,294.39
  4. Step 4: Simplify right side
    2,610.52x = 5,070,157.99
  5. Step 5: Solve for x
    x = 5,070,157.99/2,610.52
  6. Step 6: Final answer
    x = 1,942.21

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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.