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Finding the Fourth Proportional to 2,727.53, 4,091.50 and 779.89

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Solution

The fourth proportional to 2,727.53, 4,091.50 and 779.89 is: 1,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.53 : 4,091.50 = 779.89 : x
  2. Step 2: Convert to fraction form
    2,727.53/4,091.50 = 779.89/x
  3. Step 3: Cross multiply
    2,727.53x = 4,091.50 × 779.89
  4. Step 4: Simplify right side
    2,727.53x = 3,190,907.76
  5. Step 5: Solve for x
    x = 3,190,907.76/2,727.53
  6. Step 6: Final answer
    x = 1,169.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.