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Finding the Fourth Proportional to 2,555.96, 3,833.22 and 1,094.77

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Solution

The fourth proportional to 2,555.96, 3,833.22 and 1,094.77 is: 1,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.96 : 3,833.22 = 1,094.77 : x
  2. Step 2: Convert to fraction form
    2,555.96/3,833.22 = 1,094.77/x
  3. Step 3: Cross multiply
    2,555.96x = 3,833.22 × 1,094.77
  4. Step 4: Simplify right side
    2,555.96x = 4,196,481.59
  5. Step 5: Solve for x
    x = 4,196,481.59/2,555.96
  6. Step 6: Final answer
    x = 1,641.84

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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.