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Finding the Fourth Proportional to 1,748.24, 2,622.36 and 449.71

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Solution

The fourth proportional to 1,748.24, 2,622.36 and 449.71 is: 674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.24 : 2,622.36 = 449.71 : x
  2. Step 2: Convert to fraction form
    1,748.24/2,622.36 = 449.71/x
  3. Step 3: Cross multiply
    1,748.24x = 2,622.36 × 449.71
  4. Step 4: Simplify right side
    1,748.24x = 1,179,301.52
  5. Step 5: Solve for x
    x = 1,179,301.52/1,748.24
  6. Step 6: Final answer
    x = 674.57

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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.