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Finding the Fourth Proportional to 2,197.71, 3,296.79 and 965.93

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Solution

The fourth proportional to 2,197.71, 3,296.79 and 965.93 is: 1,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.71 : 3,296.79 = 965.93 : x
  2. Step 2: Convert to fraction form
    2,197.71/3,296.79 = 965.93/x
  3. Step 3: Cross multiply
    2,197.71x = 3,296.79 × 965.93
  4. Step 4: Simplify right side
    2,197.71x = 3,184,450.52
  5. Step 5: Solve for x
    x = 3,184,450.52/2,197.71
  6. Step 6: Final answer
    x = 1,448.99

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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.