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Finding the Fourth Proportional to 2,622.55, 3,933.00 and 867.23

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Solution

The fourth proportional to 2,622.55, 3,933.00 and 867.23 is: 1,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.55 : 3,933.00 = 867.23 : x
  2. Step 2: Convert to fraction form
    2,622.55/3,933.00 = 867.23/x
  3. Step 3: Cross multiply
    2,622.55x = 3,933.00 × 867.23
  4. Step 4: Simplify right side
    2,622.55x = 3,410,811.25
  5. Step 5: Solve for x
    x = 3,410,811.25/2,622.55
  6. Step 6: Final answer
    x = 1,300.57

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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.