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Finding the Fourth Proportional to 2,049.66, 3,073.34 and 643.70

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Solution

The fourth proportional to 2,049.66, 3,073.34 and 643.70 is: 965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.66 : 3,073.34 = 643.70 : x
  2. Step 2: Convert to fraction form
    2,049.66/3,073.34 = 643.70/x
  3. Step 3: Cross multiply
    2,049.66x = 3,073.34 × 643.70
  4. Step 4: Simplify right side
    2,049.66x = 1,978,318.25
  5. Step 5: Solve for x
    x = 1,978,318.25/2,049.66
  6. Step 6: Final answer
    x = 965.19

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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.