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Finding the Fourth Proportional to 3,162.84, 4,743.76 and 1,082.84

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Solution

The fourth proportional to 3,162.84, 4,743.76 and 1,082.84 is: 1,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.84 : 4,743.76 = 1,082.84 : x
  2. Step 2: Convert to fraction form
    3,162.84/4,743.76 = 1,082.84/x
  3. Step 3: Cross multiply
    3,162.84x = 4,743.76 × 1,082.84
  4. Step 4: Simplify right side
    3,162.84x = 5,136,733.08
  5. Step 5: Solve for x
    x = 5,136,733.08/3,162.84
  6. Step 6: Final answer
    x = 1,624.09

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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.