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Finding the Fourth Proportional to 2,078.60, 2,883.17 and 2,003.79

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Solution

The fourth proportional to 2,078.60, 2,883.17 and 2,003.79 is: 2,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.60 : 2,883.17 = 2,003.79 : x
  2. Step 2: Convert to fraction form
    2,078.60/2,883.17 = 2,003.79/x
  3. Step 3: Cross multiply
    2,078.60x = 2,883.17 × 2,003.79
  4. Step 4: Simplify right side
    2,078.60x = 5,777,257.20
  5. Step 5: Solve for x
    x = 5,777,257.20/2,078.60
  6. Step 6: Final answer
    x = 2,779.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.