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Finding the Fourth Proportional to 2,748.36, 4,124.22 and 1,188.78

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Solution

The fourth proportional to 2,748.36, 4,124.22 and 1,188.78 is: 1,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.36 : 4,124.22 = 1,188.78 : x
  2. Step 2: Convert to fraction form
    2,748.36/4,124.22 = 1,188.78/x
  3. Step 3: Cross multiply
    2,748.36x = 4,124.22 × 1,188.78
  4. Step 4: Simplify right side
    2,748.36x = 4,902,770.33
  5. Step 5: Solve for x
    x = 4,902,770.33/2,748.36
  6. Step 6: Final answer
    x = 1,783.89

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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.