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Finding the Fourth Proportional to 2,222.57, 3,334.50 and 662.63

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Solution

The fourth proportional to 2,222.57, 3,334.50 and 662.63 is: 994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.57 : 3,334.50 = 662.63 : x
  2. Step 2: Convert to fraction form
    2,222.57/3,334.50 = 662.63/x
  3. Step 3: Cross multiply
    2,222.57x = 3,334.50 × 662.63
  4. Step 4: Simplify right side
    2,222.57x = 2,209,523.06
  5. Step 5: Solve for x
    x = 2,209,523.06/2,222.57
  6. Step 6: Final answer
    x = 994.13

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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.