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Finding the Fourth Proportional to 2,567.30, 3,850.35 and 834.98

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Solution

The fourth proportional to 2,567.30, 3,850.35 and 834.98 is: 1,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.30 : 3,850.35 = 834.98 : x
  2. Step 2: Convert to fraction form
    2,567.30/3,850.35 = 834.98/x
  3. Step 3: Cross multiply
    2,567.30x = 3,850.35 × 834.98
  4. Step 4: Simplify right side
    2,567.30x = 3,214,965.24
  5. Step 5: Solve for x
    x = 3,214,965.24/2,567.30
  6. Step 6: Final answer
    x = 1,252.27

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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.