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Finding the Fourth Proportional to 2,224.29, 3,336.45 and 925.76

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Solution

The fourth proportional to 2,224.29, 3,336.45 and 925.76 is: 1,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.29 : 3,336.45 = 925.76 : x
  2. Step 2: Convert to fraction form
    2,224.29/3,336.45 = 925.76/x
  3. Step 3: Cross multiply
    2,224.29x = 3,336.45 × 925.76
  4. Step 4: Simplify right side
    2,224.29x = 3,088,735.27
  5. Step 5: Solve for x
    x = 3,088,735.27/2,224.29
  6. Step 6: Final answer
    x = 1,388.64

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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.