Home / 1,576.82-2,362.10-1,082.02

Finding the Fourth Proportional to 1,576.82, 2,362.10 and 1,082.02

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Solution

The fourth proportional to 1,576.82, 2,362.10 and 1,082.02 is: 1,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.82 : 2,362.10 = 1,082.02 : x
  2. Step 2: Convert to fraction form
    1,576.82/2,362.10 = 1,082.02/x
  3. Step 3: Cross multiply
    1,576.82x = 2,362.10 × 1,082.02
  4. Step 4: Simplify right side
    1,576.82x = 2,555,828.13
  5. Step 5: Solve for x
    x = 2,555,828.13/1,576.82
  6. Step 6: Final answer
    x = 1,620.87

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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.