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Finding the Fourth Proportional to 1,744.30, 2,616.48 and 445.78

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Solution

The fourth proportional to 1,744.30, 2,616.48 and 445.78 is: 668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.30 : 2,616.48 = 445.78 : x
  2. Step 2: Convert to fraction form
    1,744.30/2,616.48 = 445.78/x
  3. Step 3: Cross multiply
    1,744.30x = 2,616.48 × 445.78
  4. Step 4: Simplify right side
    1,744.30x = 1,166,374.45
  5. Step 5: Solve for x
    x = 1,166,374.45/1,744.30
  6. Step 6: Final answer
    x = 668.68

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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.