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Finding the Fourth Proportional to 3,296.30, 4,943.67 and 955.69

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Solution

The fourth proportional to 3,296.30, 4,943.67 and 955.69 is: 1,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.30 : 4,943.67 = 955.69 : x
  2. Step 2: Convert to fraction form
    3,296.30/4,943.67 = 955.69/x
  3. Step 3: Cross multiply
    3,296.30x = 4,943.67 × 955.69
  4. Step 4: Simplify right side
    3,296.30x = 4,724,591.26
  5. Step 5: Solve for x
    x = 4,724,591.26/3,296.30
  6. Step 6: Final answer
    x = 1,433.30

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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.