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Finding the Fourth Proportional to 3,296.45, 4,944.93 and 956.49

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Solution

The fourth proportional to 3,296.45, 4,944.93 and 956.49 is: 1,434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.45 : 4,944.93 = 956.49 : x
  2. Step 2: Convert to fraction form
    3,296.45/4,944.93 = 956.49/x
  3. Step 3: Cross multiply
    3,296.45x = 4,944.93 × 956.49
  4. Step 4: Simplify right side
    3,296.45x = 4,729,776.10
  5. Step 5: Solve for x
    x = 4,729,776.10/3,296.45
  6. Step 6: Final answer
    x = 1,434.81

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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.