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Finding the Fourth Proportional to 2,764.60, 4,147.62 and 1,675.96

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Solution

The fourth proportional to 2,764.60, 4,147.62 and 1,675.96 is: 2,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.60 : 4,147.62 = 1,675.96 : x
  2. Step 2: Convert to fraction form
    2,764.60/4,147.62 = 1,675.96/x
  3. Step 3: Cross multiply
    2,764.60x = 4,147.62 × 1,675.96
  4. Step 4: Simplify right side
    2,764.60x = 6,951,245.22
  5. Step 5: Solve for x
    x = 6,951,245.22/2,764.60
  6. Step 6: Final answer
    x = 2,514.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.