Home / 2,197.24-3,296.22-964.60

Finding the Fourth Proportional to 2,197.24, 3,296.22 and 964.60

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Solution

The fourth proportional to 2,197.24, 3,296.22 and 964.60 is: 1,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.24 : 3,296.22 = 964.60 : x
  2. Step 2: Convert to fraction form
    2,197.24/3,296.22 = 964.60/x
  3. Step 3: Cross multiply
    2,197.24x = 3,296.22 × 964.60
  4. Step 4: Simplify right side
    2,197.24x = 3,179,533.81
  5. Step 5: Solve for x
    x = 3,179,533.81/2,197.24
  6. Step 6: Final answer
    x = 1,447.06

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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.