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Finding the Fourth Proportional to 1,556.08, 2,147.29 and 892.78

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Solution

The fourth proportional to 1,556.08, 2,147.29 and 892.78 is: 1,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.08 : 2,147.29 = 892.78 : x
  2. Step 2: Convert to fraction form
    1,556.08/2,147.29 = 892.78/x
  3. Step 3: Cross multiply
    1,556.08x = 2,147.29 × 892.78
  4. Step 4: Simplify right side
    1,556.08x = 1,917,057.57
  5. Step 5: Solve for x
    x = 1,917,057.57/1,556.08
  6. Step 6: Final answer
    x = 1,231.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.