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Finding the Fourth Proportional to 2,572.52, 3,858.48 and 1,091.96

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Solution

The fourth proportional to 2,572.52, 3,858.48 and 1,091.96 is: 1,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.52 : 3,858.48 = 1,091.96 : x
  2. Step 2: Convert to fraction form
    2,572.52/3,858.48 = 1,091.96/x
  3. Step 3: Cross multiply
    2,572.52x = 3,858.48 × 1,091.96
  4. Step 4: Simplify right side
    2,572.52x = 4,213,301.73
  5. Step 5: Solve for x
    x = 4,213,301.73/2,572.52
  6. Step 6: Final answer
    x = 1,637.81

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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.