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Finding the Fourth Proportional to 2,748.88, 4,123.34 and 668.89

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Solution

The fourth proportional to 2,748.88, 4,123.34 and 668.89 is: 1,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.88 : 4,123.34 = 668.89 : x
  2. Step 2: Convert to fraction form
    2,748.88/4,123.34 = 668.89/x
  3. Step 3: Cross multiply
    2,748.88x = 4,123.34 × 668.89
  4. Step 4: Simplify right side
    2,748.88x = 2,758,057.55
  5. Step 5: Solve for x
    x = 2,758,057.55/2,748.88
  6. Step 6: Final answer
    x = 1,003.34

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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.