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Finding the Fourth Proportional to 2,115.01, 3,177.07 and 1,293.77

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Solution

The fourth proportional to 2,115.01, 3,177.07 and 1,293.77 is: 1,943.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.01 : 3,177.07 = 1,293.77 : x
  2. Step 2: Convert to fraction form
    2,115.01/3,177.07 = 1,293.77/x
  3. Step 3: Cross multiply
    2,115.01x = 3,177.07 × 1,293.77
  4. Step 4: Simplify right side
    2,115.01x = 4,110,375.50
  5. Step 5: Solve for x
    x = 4,110,375.50/2,115.01
  6. Step 6: Final answer
    x = 1,943.44

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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.