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Finding the Fourth Proportional to 2,412.83, 3,619.51 and 768.99

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Solution

The fourth proportional to 2,412.83, 3,619.51 and 768.99 is: 1,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.83 : 3,619.51 = 768.99 : x
  2. Step 2: Convert to fraction form
    2,412.83/3,619.51 = 768.99/x
  3. Step 3: Cross multiply
    2,412.83x = 3,619.51 × 768.99
  4. Step 4: Simplify right side
    2,412.83x = 2,783,380.81
  5. Step 5: Solve for x
    x = 2,783,380.81/2,412.83
  6. Step 6: Final answer
    x = 1,153.58

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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.