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Finding the Fourth Proportional to 1,748.22, 2,623.64 and 1,224.78

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Solution

The fourth proportional to 1,748.22, 2,623.64 and 1,224.78 is: 1,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.22 : 2,623.64 = 1,224.78 : x
  2. Step 2: Convert to fraction form
    1,748.22/2,623.64 = 1,224.78/x
  3. Step 3: Cross multiply
    1,748.22x = 2,623.64 × 1,224.78
  4. Step 4: Simplify right side
    1,748.22x = 3,213,375.68
  5. Step 5: Solve for x
    x = 3,213,375.68/1,748.22
  6. Step 6: Final answer
    x = 1,838.08

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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.