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Finding the Fourth Proportional to 2,133.46, 3,195.03 and 1,765.54

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Solution

The fourth proportional to 2,133.46, 3,195.03 and 1,765.54 is: 2,644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.46 : 3,195.03 = 1,765.54 : x
  2. Step 2: Convert to fraction form
    2,133.46/3,195.03 = 1,765.54/x
  3. Step 3: Cross multiply
    2,133.46x = 3,195.03 × 1,765.54
  4. Step 4: Simplify right side
    2,133.46x = 5,640,953.27
  5. Step 5: Solve for x
    x = 5,640,953.27/2,133.46
  6. Step 6: Final answer
    x = 2,644.04

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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.