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Finding the Fourth Proportional to 2,133.50, 2,944.26 and 1,305.50

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Solution

The fourth proportional to 2,133.50, 2,944.26 and 1,305.50 is: 1,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.50 : 2,944.26 = 1,305.50 : x
  2. Step 2: Convert to fraction form
    2,133.50/2,944.26 = 1,305.50/x
  3. Step 3: Cross multiply
    2,133.50x = 2,944.26 × 1,305.50
  4. Step 4: Simplify right side
    2,133.50x = 3,843,731.43
  5. Step 5: Solve for x
    x = 3,843,731.43/2,133.50
  6. Step 6: Final answer
    x = 1,801.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.