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Finding the Fourth Proportional to 3,267.70, 4,902.19 and 1,418.50

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Solution

The fourth proportional to 3,267.70, 4,902.19 and 1,418.50 is: 2,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.70 : 4,902.19 = 1,418.50 : x
  2. Step 2: Convert to fraction form
    3,267.70/4,902.19 = 1,418.50/x
  3. Step 3: Cross multiply
    3,267.70x = 4,902.19 × 1,418.50
  4. Step 4: Simplify right side
    3,267.70x = 6,953,756.52
  5. Step 5: Solve for x
    x = 6,953,756.52/3,267.70
  6. Step 6: Final answer
    x = 2,128.03

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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.