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Finding the Fourth Proportional to 2,768.54, 4,150.19 and 1,013.13

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Solution

The fourth proportional to 2,768.54, 4,150.19 and 1,013.13 is: 1,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.54 : 4,150.19 = 1,013.13 : x
  2. Step 2: Convert to fraction form
    2,768.54/4,150.19 = 1,013.13/x
  3. Step 3: Cross multiply
    2,768.54x = 4,150.19 × 1,013.13
  4. Step 4: Simplify right side
    2,768.54x = 4,204,676.93
  5. Step 5: Solve for x
    x = 4,204,676.93/2,768.54
  6. Step 6: Final answer
    x = 1,518.74

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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.