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Finding the Fourth Proportional to 2,512.34, 3,769.14 and 1,196.54

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Solution

The fourth proportional to 2,512.34, 3,769.14 and 1,196.54 is: 1,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.34 : 3,769.14 = 1,196.54 : x
  2. Step 2: Convert to fraction form
    2,512.34/3,769.14 = 1,196.54/x
  3. Step 3: Cross multiply
    2,512.34x = 3,769.14 × 1,196.54
  4. Step 4: Simplify right side
    2,512.34x = 4,509,926.78
  5. Step 5: Solve for x
    x = 4,509,926.78/2,512.34
  6. Step 6: Final answer
    x = 1,795.11

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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.