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Finding the Fourth Proportional to 2,874.83, 3,967.25 and 1,615.94

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Solution

The fourth proportional to 2,874.83, 3,967.25 and 1,615.94 is: 2,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.83 : 3,967.25 = 1,615.94 : x
  2. Step 2: Convert to fraction form
    2,874.83/3,967.25 = 1,615.94/x
  3. Step 3: Cross multiply
    2,874.83x = 3,967.25 × 1,615.94
  4. Step 4: Simplify right side
    2,874.83x = 6,410,810.05
  5. Step 5: Solve for x
    x = 6,410,810.05/2,874.83
  6. Step 6: Final answer
    x = 2,229.98

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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.