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Finding the Fourth Proportional to 2,622.83, 3,933.32 and 773.45

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Solution

The fourth proportional to 2,622.83, 3,933.32 and 773.45 is: 1,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.83 : 3,933.32 = 773.45 : x
  2. Step 2: Convert to fraction form
    2,622.83/3,933.32 = 773.45/x
  3. Step 3: Cross multiply
    2,622.83x = 3,933.32 × 773.45
  4. Step 4: Simplify right side
    2,622.83x = 3,042,221.92
  5. Step 5: Solve for x
    x = 3,042,221.92/2,622.83
  6. Step 6: Final answer
    x = 1,159.90

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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.