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Finding the Fourth Proportional to 2,224.64, 3,337.56 and 1,251.44

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Solution

The fourth proportional to 2,224.64, 3,337.56 and 1,251.44 is: 1,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.64 : 3,337.56 = 1,251.44 : x
  2. Step 2: Convert to fraction form
    2,224.64/3,337.56 = 1,251.44/x
  3. Step 3: Cross multiply
    2,224.64x = 3,337.56 × 1,251.44
  4. Step 4: Simplify right side
    2,224.64x = 4,176,756.09
  5. Step 5: Solve for x
    x = 4,176,756.09/2,224.64
  6. Step 6: Final answer
    x = 1,877.50

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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.