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Finding the Fourth Proportional to 2,825.58, 4,238.10 and 1,729.38

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Solution

The fourth proportional to 2,825.58, 4,238.10 and 1,729.38 is: 2,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.58 : 4,238.10 = 1,729.38 : x
  2. Step 2: Convert to fraction form
    2,825.58/4,238.10 = 1,729.38/x
  3. Step 3: Cross multiply
    2,825.58x = 4,238.10 × 1,729.38
  4. Step 4: Simplify right side
    2,825.58x = 7,329,285.38
  5. Step 5: Solve for x
    x = 7,329,285.38/2,825.58
  6. Step 6: Final answer
    x = 2,593.90

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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.