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Finding the Fourth Proportional to 2,223.69, 3,336.04 and 762.75

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Solution

The fourth proportional to 2,223.69, 3,336.04 and 762.75 is: 1,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.69 : 3,336.04 = 762.75 : x
  2. Step 2: Convert to fraction form
    2,223.69/3,336.04 = 762.75/x
  3. Step 3: Cross multiply
    2,223.69x = 3,336.04 × 762.75
  4. Step 4: Simplify right side
    2,223.69x = 2,544,562.60
  5. Step 5: Solve for x
    x = 2,544,562.60/2,223.69
  6. Step 6: Final answer
    x = 1,144.30

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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.