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Finding the Fourth Proportional to 2,224.28, 3,335.28 and 1,300.04

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Solution

The fourth proportional to 2,224.28, 3,335.28 and 1,300.04 is: 1,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.28 : 3,335.28 = 1,300.04 : x
  2. Step 2: Convert to fraction form
    2,224.28/3,335.28 = 1,300.04/x
  3. Step 3: Cross multiply
    2,224.28x = 3,335.28 × 1,300.04
  4. Step 4: Simplify right side
    2,224.28x = 4,335,997.41
  5. Step 5: Solve for x
    x = 4,335,997.41/2,224.28
  6. Step 6: Final answer
    x = 1,949.39

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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.