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Finding the Fourth Proportional to 2,204.79, 3,307.19 and 743.91

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Solution

The fourth proportional to 2,204.79, 3,307.19 and 743.91 is: 1,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.79 : 3,307.19 = 743.91 : x
  2. Step 2: Convert to fraction form
    2,204.79/3,307.19 = 743.91/x
  3. Step 3: Cross multiply
    2,204.79x = 3,307.19 × 743.91
  4. Step 4: Simplify right side
    2,204.79x = 2,460,247.99
  5. Step 5: Solve for x
    x = 2,460,247.99/2,204.79
  6. Step 6: Final answer
    x = 1,115.87

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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.