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Finding the Fourth Proportional to 2,633.88, 3,951.96 and 1,401

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Solution

The fourth proportional to 2,633.88, 3,951.96 and 1,401 is: 2,102.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.88 : 3,951.96 = 1,401 : x
  2. Step 2: Convert to fraction form
    2,633.88/3,951.96 = 1,401/x
  3. Step 3: Cross multiply
    2,633.88x = 3,951.96 × 1,401
  4. Step 4: Simplify right side
    2,633.88x = 5,536,695.96
  5. Step 5: Solve for x
    x = 5,536,695.96/2,633.88
  6. Step 6: Final answer
    x = 2,102.11

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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.