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Finding the Fourth Proportional to 3,082.44, 4,622.22 and 1,029

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Solution

The fourth proportional to 3,082.44, 4,622.22 and 1,029 is: 1,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.44 : 4,622.22 = 1,029 : x
  2. Step 2: Convert to fraction form
    3,082.44/4,622.22 = 1,029/x
  3. Step 3: Cross multiply
    3,082.44x = 4,622.22 × 1,029
  4. Step 4: Simplify right side
    3,082.44x = 4,756,264.38
  5. Step 5: Solve for x
    x = 4,756,264.38/3,082.44
  6. Step 6: Final answer
    x = 1,543.02

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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.