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Finding the Fourth Proportional to 2,836.50, 4,255.47 and 1,082.22

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Solution

The fourth proportional to 2,836.50, 4,255.47 and 1,082.22 is: 1,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.50 : 4,255.47 = 1,082.22 : x
  2. Step 2: Convert to fraction form
    2,836.50/4,255.47 = 1,082.22/x
  3. Step 3: Cross multiply
    2,836.50x = 4,255.47 × 1,082.22
  4. Step 4: Simplify right side
    2,836.50x = 4,605,354.74
  5. Step 5: Solve for x
    x = 4,605,354.74/2,836.50
  6. Step 6: Final answer
    x = 1,623.60

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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.