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Finding the Fourth Proportional to 2,264.69, 3,398.02 and 1,224.50

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Solution

The fourth proportional to 2,264.69, 3,398.02 and 1,224.50 is: 1,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.69 : 3,398.02 = 1,224.50 : x
  2. Step 2: Convert to fraction form
    2,264.69/3,398.02 = 1,224.50/x
  3. Step 3: Cross multiply
    2,264.69x = 3,398.02 × 1,224.50
  4. Step 4: Simplify right side
    2,264.69x = 4,160,855.44
  5. Step 5: Solve for x
    x = 4,160,855.44/2,264.69
  6. Step 6: Final answer
    x = 1,837.27

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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.