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Finding the Fourth Proportional to 2,967.54, 4,093.90 and 2,083.92

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Solution

The fourth proportional to 2,967.54, 4,093.90 and 2,083.92 is: 2,874.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.54 : 4,093.90 = 2,083.92 : x
  2. Step 2: Convert to fraction form
    2,967.54/4,093.90 = 2,083.92/x
  3. Step 3: Cross multiply
    2,967.54x = 4,093.90 × 2,083.92
  4. Step 4: Simplify right side
    2,967.54x = 8,531,360.09
  5. Step 5: Solve for x
    x = 8,531,360.09/2,967.54
  6. Step 6: Final answer
    x = 2,874.89

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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.