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Finding the Fourth Proportional to 2,023.75, 3,034.41 and 706.78

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Solution

The fourth proportional to 2,023.75, 3,034.41 and 706.78 is: 1,059.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.75 : 3,034.41 = 706.78 : x
  2. Step 2: Convert to fraction form
    2,023.75/3,034.41 = 706.78/x
  3. Step 3: Cross multiply
    2,023.75x = 3,034.41 × 706.78
  4. Step 4: Simplify right side
    2,023.75x = 2,144,660.30
  5. Step 5: Solve for x
    x = 2,144,660.30/2,023.75
  6. Step 6: Final answer
    x = 1,059.75

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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.