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Finding the Fourth Proportional to 2,223, 3,334.77 and 923.76

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Solution

The fourth proportional to 2,223, 3,334.77 and 923.76 is: 1,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223 : 3,334.77 = 923.76 : x
  2. Step 2: Convert to fraction form
    2,223/3,334.77 = 923.76/x
  3. Step 3: Cross multiply
    2,223x = 3,334.77 × 923.76
  4. Step 4: Simplify right side
    2,223x = 3,080,527.14
  5. Step 5: Solve for x
    x = 3,080,527.14/2,223
  6. Step 6: Final answer
    x = 1,385.75

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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.