Home / 1,516.46-2,273.06-1,082.30

Finding the Fourth Proportional to 1,516.46, 2,273.06 and 1,082.30

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Solution

The fourth proportional to 1,516.46, 2,273.06 and 1,082.30 is: 1,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.46 : 2,273.06 = 1,082.30 : x
  2. Step 2: Convert to fraction form
    1,516.46/2,273.06 = 1,082.30/x
  3. Step 3: Cross multiply
    1,516.46x = 2,273.06 × 1,082.30
  4. Step 4: Simplify right side
    1,516.46x = 2,460,124.18
  5. Step 5: Solve for x
    x = 2,460,124.18/1,516.46
  6. Step 6: Final answer
    x = 1,622.29

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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.