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Finding the Fourth Proportional to 2,764.13, 4,145.45 and 789.48

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Solution

The fourth proportional to 2,764.13, 4,145.45 and 789.48 is: 1,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.13 : 4,145.45 = 789.48 : x
  2. Step 2: Convert to fraction form
    2,764.13/4,145.45 = 789.48/x
  3. Step 3: Cross multiply
    2,764.13x = 4,145.45 × 789.48
  4. Step 4: Simplify right side
    2,764.13x = 3,272,745.92
  5. Step 5: Solve for x
    x = 3,272,745.92/2,764.13
  6. Step 6: Final answer
    x = 1,184.01

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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.