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Finding the Fourth Proportional to 1,596.68, 2,392.68 and 1,469.44

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Solution

The fourth proportional to 1,596.68, 2,392.68 and 1,469.44 is: 2,202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.68 : 2,392.68 = 1,469.44 : x
  2. Step 2: Convert to fraction form
    1,596.68/2,392.68 = 1,469.44/x
  3. Step 3: Cross multiply
    1,596.68x = 2,392.68 × 1,469.44
  4. Step 4: Simplify right side
    1,596.68x = 3,515,899.70
  5. Step 5: Solve for x
    x = 3,515,899.70/1,596.68
  6. Step 6: Final answer
    x = 2,202.01

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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.