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Finding the Fourth Proportional to 2,893.41, 3,992.91 and 1,567.10

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Solution

The fourth proportional to 2,893.41, 3,992.91 and 1,567.10 is: 2,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.41 : 3,992.91 = 1,567.10 : x
  2. Step 2: Convert to fraction form
    2,893.41/3,992.91 = 1,567.10/x
  3. Step 3: Cross multiply
    2,893.41x = 3,992.91 × 1,567.10
  4. Step 4: Simplify right side
    2,893.41x = 6,257,269.30
  5. Step 5: Solve for x
    x = 6,257,269.30/2,893.41
  6. Step 6: Final answer
    x = 2,162.59

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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.