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Finding the Fourth Proportional to 2,550.52, 3,820.64 and 1,622.75

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Solution

The fourth proportional to 2,550.52, 3,820.64 and 1,622.75 is: 2,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.52 : 3,820.64 = 1,622.75 : x
  2. Step 2: Convert to fraction form
    2,550.52/3,820.64 = 1,622.75/x
  3. Step 3: Cross multiply
    2,550.52x = 3,820.64 × 1,622.75
  4. Step 4: Simplify right side
    2,550.52x = 6,199,943.56
  5. Step 5: Solve for x
    x = 6,199,943.56/2,550.52
  6. Step 6: Final answer
    x = 2,430.85

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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.