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Finding the Fourth Proportional to 2,512.77, 3,767.76 and 1,196.07

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Solution

The fourth proportional to 2,512.77, 3,767.76 and 1,196.07 is: 1,793.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.77 : 3,767.76 = 1,196.07 : x
  2. Step 2: Convert to fraction form
    2,512.77/3,767.76 = 1,196.07/x
  3. Step 3: Cross multiply
    2,512.77x = 3,767.76 × 1,196.07
  4. Step 4: Simplify right side
    2,512.77x = 4,506,504.70
  5. Step 5: Solve for x
    x = 4,506,504.70/2,512.77
  6. Step 6: Final answer
    x = 1,793.44

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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.