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Finding the Fourth Proportional to 2,748.49, 4,122.74 and 668.48

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Solution

The fourth proportional to 2,748.49, 4,122.74 and 668.48 is: 1,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.49 : 4,122.74 = 668.48 : x
  2. Step 2: Convert to fraction form
    2,748.49/4,122.74 = 668.48/x
  3. Step 3: Cross multiply
    2,748.49x = 4,122.74 × 668.48
  4. Step 4: Simplify right side
    2,748.49x = 2,755,976.28
  5. Step 5: Solve for x
    x = 2,755,976.28/2,748.49
  6. Step 6: Final answer
    x = 1,002.72

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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.