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Finding the Fourth Proportional to 2,733.08, 4,099.68 and 884.20

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Solution

The fourth proportional to 2,733.08, 4,099.68 and 884.20 is: 1,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.08 : 4,099.68 = 884.20 : x
  2. Step 2: Convert to fraction form
    2,733.08/4,099.68 = 884.20/x
  3. Step 3: Cross multiply
    2,733.08x = 4,099.68 × 884.20
  4. Step 4: Simplify right side
    2,733.08x = 3,624,937.06
  5. Step 5: Solve for x
    x = 3,624,937.06/2,733.08
  6. Step 6: Final answer
    x = 1,326.32

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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.