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Finding the Fourth Proportional to 2,078.22, 2,867.73 and 1,193.85

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Solution

The fourth proportional to 2,078.22, 2,867.73 and 1,193.85 is: 1,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.22 : 2,867.73 = 1,193.85 : x
  2. Step 2: Convert to fraction form
    2,078.22/2,867.73 = 1,193.85/x
  3. Step 3: Cross multiply
    2,078.22x = 2,867.73 × 1,193.85
  4. Step 4: Simplify right side
    2,078.22x = 3,423,639.46
  5. Step 5: Solve for x
    x = 3,423,639.46/2,078.22
  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.