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Finding the Fourth Proportional to 2,550.83, 3,820.01 and 1,768.67

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Solution

The fourth proportional to 2,550.83, 3,820.01 and 1,768.67 is: 2,648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.83 : 3,820.01 = 1,768.67 : x
  2. Step 2: Convert to fraction form
    2,550.83/3,820.01 = 1,768.67/x
  3. Step 3: Cross multiply
    2,550.83x = 3,820.01 × 1,768.67
  4. Step 4: Simplify right side
    2,550.83x = 6,756,309.14
  5. Step 5: Solve for x
    x = 6,756,309.14/2,550.83
  6. Step 6: Final answer
    x = 2,648.68

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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.