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Finding the Fourth Proportional to 1,226.03, 1,829.51 and 1,082.03

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Solution

The fourth proportional to 1,226.03, 1,829.51 and 1,082.03 is: 1,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.03 : 1,829.51 = 1,082.03 : x
  2. Step 2: Convert to fraction form
    1,226.03/1,829.51 = 1,082.03/x
  3. Step 3: Cross multiply
    1,226.03x = 1,829.51 × 1,082.03
  4. Step 4: Simplify right side
    1,226.03x = 1,979,584.71
  5. Step 5: Solve for x
    x = 1,979,584.71/1,226.03
  6. Step 6: Final answer
    x = 1,614.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.