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Finding the Fourth Proportional to 2,761.07, 4,141.82 and 786.84

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Solution

The fourth proportional to 2,761.07, 4,141.82 and 786.84 is: 1,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.07 : 4,141.82 = 786.84 : x
  2. Step 2: Convert to fraction form
    2,761.07/4,141.82 = 786.84/x
  3. Step 3: Cross multiply
    2,761.07x = 4,141.82 × 786.84
  4. Step 4: Simplify right side
    2,761.07x = 3,258,945.71
  5. Step 5: Solve for x
    x = 3,258,945.71/2,761.07
  6. Step 6: Final answer
    x = 1,180.32

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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.