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Finding the Fourth Proportional to 4,965.31, 7,448.87 and 1,633.74

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Solution

The fourth proportional to 4,965.31, 7,448.87 and 1,633.74 is: 2,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.31 : 7,448.87 = 1,633.74 : x
  2. Step 2: Convert to fraction form
    4,965.31/7,448.87 = 1,633.74/x
  3. Step 3: Cross multiply
    4,965.31x = 7,448.87 × 1,633.74
  4. Step 4: Simplify right side
    4,965.31x = 12,169,520.96
  5. Step 5: Solve for x
    x = 12,169,520.96/4,965.31
  6. Step 6: Final answer
    x = 2,450.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.