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Finding the Fourth Proportional to 2,264.82, 3,398.50 and 1,224.80

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Solution

The fourth proportional to 2,264.82, 3,398.50 and 1,224.80 is: 1,837.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.82 : 3,398.50 = 1,224.80 : x
  2. Step 2: Convert to fraction form
    2,264.82/3,398.50 = 1,224.80/x
  3. Step 3: Cross multiply
    2,264.82x = 3,398.50 × 1,224.80
  4. Step 4: Simplify right side
    2,264.82x = 4,162,482.80
  5. Step 5: Solve for x
    x = 4,162,482.80/2,264.82
  6. Step 6: Final answer
    x = 1,837.89

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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.