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Finding the Fourth Proportional to 2,064.70, 2,850.38 and 1,591.56

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Solution

The fourth proportional to 2,064.70, 2,850.38 and 1,591.56 is: 2,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.70 : 2,850.38 = 1,591.56 : x
  2. Step 2: Convert to fraction form
    2,064.70/2,850.38 = 1,591.56/x
  3. Step 3: Cross multiply
    2,064.70x = 2,850.38 × 1,591.56
  4. Step 4: Simplify right side
    2,064.70x = 4,536,550.79
  5. Step 5: Solve for x
    x = 4,536,550.79/2,064.70
  6. Step 6: Final answer
    x = 2,197.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.