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Finding the Fourth Proportional to 2,734.80, 4,101.42 and 786.72

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Solution

The fourth proportional to 2,734.80, 4,101.42 and 786.72 is: 1,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.80 : 4,101.42 = 786.72 : x
  2. Step 2: Convert to fraction form
    2,734.80/4,101.42 = 786.72/x
  3. Step 3: Cross multiply
    2,734.80x = 4,101.42 × 786.72
  4. Step 4: Simplify right side
    2,734.80x = 3,226,669.14
  5. Step 5: Solve for x
    x = 3,226,669.14/2,734.80
  6. Step 6: Final answer
    x = 1,179.86

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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.