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Finding the Fourth Proportional to 3,222.63, 4,834.74 and 1,907.46

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Solution

The fourth proportional to 3,222.63, 4,834.74 and 1,907.46 is: 2,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.63 : 4,834.74 = 1,907.46 : x
  2. Step 2: Convert to fraction form
    3,222.63/4,834.74 = 1,907.46/x
  3. Step 3: Cross multiply
    3,222.63x = 4,834.74 × 1,907.46
  4. Step 4: Simplify right side
    3,222.63x = 9,222,073.16
  5. Step 5: Solve for x
    x = 9,222,073.16/3,222.63
  6. Step 6: Final answer
    x = 2,861.66

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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.