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Finding the Fourth Proportional to 2,224, 3,336.64 and 1,452.16

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Solution

The fourth proportional to 2,224, 3,336.64 and 1,452.16 is: 2,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224 : 3,336.64 = 1,452.16 : x
  2. Step 2: Convert to fraction form
    2,224/3,336.64 = 1,452.16/x
  3. Step 3: Cross multiply
    2,224x = 3,336.64 × 1,452.16
  4. Step 4: Simplify right side
    2,224x = 4,845,335.14
  5. Step 5: Solve for x
    x = 4,845,335.14/2,224
  6. Step 6: Final answer
    x = 2,178.66

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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.