Home / 2,082.23-2,872.16-1,583.78

Finding the Fourth Proportional to 2,082.23, 2,872.16 and 1,583.78

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Solution

The fourth proportional to 2,082.23, 2,872.16 and 1,583.78 is: 2,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.23 : 2,872.16 = 1,583.78 : x
  2. Step 2: Convert to fraction form
    2,082.23/2,872.16 = 1,583.78/x
  3. Step 3: Cross multiply
    2,082.23x = 2,872.16 × 1,583.78
  4. Step 4: Simplify right side
    2,082.23x = 4,548,869.56
  5. Step 5: Solve for x
    x = 4,548,869.56/2,082.23
  6. Step 6: Final answer
    x = 2,184.61

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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.