Home / 2,198.08-3,295.98-964.93

Finding the Fourth Proportional to 2,198.08, 3,295.98 and 964.93

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Solution

The fourth proportional to 2,198.08, 3,295.98 and 964.93 is: 1,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.08 : 3,295.98 = 964.93 : x
  2. Step 2: Convert to fraction form
    2,198.08/3,295.98 = 964.93/x
  3. Step 3: Cross multiply
    2,198.08x = 3,295.98 × 964.93
  4. Step 4: Simplify right side
    2,198.08x = 3,180,389.98
  5. Step 5: Solve for x
    x = 3,180,389.98/2,198.08
  6. Step 6: Final answer
    x = 1,446.89

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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.