Home / 2,082.65-2,874.02-1,198.46

Finding the Fourth Proportional to 2,082.65, 2,874.02 and 1,198.46

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Solution

The fourth proportional to 2,082.65, 2,874.02 and 1,198.46 is: 1,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.65 : 2,874.02 = 1,198.46 : x
  2. Step 2: Convert to fraction form
    2,082.65/2,874.02 = 1,198.46/x
  3. Step 3: Cross multiply
    2,082.65x = 2,874.02 × 1,198.46
  4. Step 4: Simplify right side
    2,082.65x = 3,444,399.20
  5. Step 5: Solve for x
    x = 3,444,399.20/2,082.65
  6. Step 6: Final answer
    x = 1,653.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.