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Finding the Fourth Proportional to 2,567.94, 3,858.30 and 1,643.91

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Solution

The fourth proportional to 2,567.94, 3,858.30 and 1,643.91 is: 2,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.94 : 3,858.30 = 1,643.91 : x
  2. Step 2: Convert to fraction form
    2,567.94/3,858.30 = 1,643.91/x
  3. Step 3: Cross multiply
    2,567.94x = 3,858.30 × 1,643.91
  4. Step 4: Simplify right side
    2,567.94x = 6,342,697.95
  5. Step 5: Solve for x
    x = 6,342,697.95/2,567.94
  6. Step 6: Final answer
    x = 2,469.96

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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.