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Finding the Fourth Proportional to 3,223.26, 4,830.03 and 1,274.94

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Solution

The fourth proportional to 3,223.26, 4,830.03 and 1,274.94 is: 1,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.26 : 4,830.03 = 1,274.94 : x
  2. Step 2: Convert to fraction form
    3,223.26/4,830.03 = 1,274.94/x
  3. Step 3: Cross multiply
    3,223.26x = 4,830.03 × 1,274.94
  4. Step 4: Simplify right side
    3,223.26x = 6,157,998.45
  5. Step 5: Solve for x
    x = 6,157,998.45/3,223.26
  6. Step 6: Final answer
    x = 1,910.49

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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.