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Finding the Fourth Proportional to 2,556.96, 3,835.92 and 1,769.64

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Solution

The fourth proportional to 2,556.96, 3,835.92 and 1,769.64 is: 2,654.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.96 : 3,835.92 = 1,769.64 : x
  2. Step 2: Convert to fraction form
    2,556.96/3,835.92 = 1,769.64/x
  3. Step 3: Cross multiply
    2,556.96x = 3,835.92 × 1,769.64
  4. Step 4: Simplify right side
    2,556.96x = 6,788,197.47
  5. Step 5: Solve for x
    x = 6,788,197.47/2,556.96
  6. Step 6: Final answer
    x = 2,654.79

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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.