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Finding the Fourth Proportional to 1,829.72, 2,525.22 and 1,073.78

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Solution

The fourth proportional to 1,829.72, 2,525.22 and 1,073.78 is: 1,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.72 : 2,525.22 = 1,073.78 : x
  2. Step 2: Convert to fraction form
    1,829.72/2,525.22 = 1,073.78/x
  3. Step 3: Cross multiply
    1,829.72x = 2,525.22 × 1,073.78
  4. Step 4: Simplify right side
    1,829.72x = 2,711,530.73
  5. Step 5: Solve for x
    x = 2,711,530.73/1,829.72
  6. Step 6: Final answer
    x = 1,481.94

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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.