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Finding the Fourth Proportional to 1,748.22, 2,622.48 and 449.70

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Solution

The fourth proportional to 1,748.22, 2,622.48 and 449.70 is: 674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.22 : 2,622.48 = 449.70 : x
  2. Step 2: Convert to fraction form
    1,748.22/2,622.48 = 449.70/x
  3. Step 3: Cross multiply
    1,748.22x = 2,622.48 × 449.70
  4. Step 4: Simplify right side
    1,748.22x = 1,179,329.26
  5. Step 5: Solve for x
    x = 1,179,329.26/1,748.22
  6. Step 6: Final answer
    x = 674.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.