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Finding the Fourth Proportional to 2,567.05, 3,850.85 and 835.27

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Solution

The fourth proportional to 2,567.05, 3,850.85 and 835.27 is: 1,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.05 : 3,850.85 = 835.27 : x
  2. Step 2: Convert to fraction form
    2,567.05/3,850.85 = 835.27/x
  3. Step 3: Cross multiply
    2,567.05x = 3,850.85 × 835.27
  4. Step 4: Simplify right side
    2,567.05x = 3,216,499.48
  5. Step 5: Solve for x
    x = 3,216,499.48/2,567.05
  6. Step 6: Final answer
    x = 1,252.99

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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.