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Finding the Fourth Proportional to 2,077.74, 2,867.12 and 1,193.83

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Solution

The fourth proportional to 2,077.74, 2,867.12 and 1,193.83 is: 1,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.74 : 2,867.12 = 1,193.83 : x
  2. Step 2: Convert to fraction form
    2,077.74/2,867.12 = 1,193.83/x
  3. Step 3: Cross multiply
    2,077.74x = 2,867.12 × 1,193.83
  4. Step 4: Simplify right side
    2,077.74x = 3,422,833.56
  5. Step 5: Solve for x
    x = 3,422,833.56/2,077.74
  6. Step 6: Final answer
    x = 1,647.39

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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.