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Finding the Fourth Proportional to 2,682.36, 4,024.08 and 951.12

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Solution

The fourth proportional to 2,682.36, 4,024.08 and 951.12 is: 1,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.36 : 4,024.08 = 951.12 : x
  2. Step 2: Convert to fraction form
    2,682.36/4,024.08 = 951.12/x
  3. Step 3: Cross multiply
    2,682.36x = 4,024.08 × 951.12
  4. Step 4: Simplify right side
    2,682.36x = 3,827,382.97
  5. Step 5: Solve for x
    x = 3,827,382.97/2,682.36
  6. Step 6: Final answer
    x = 1,426.87

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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.