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Finding the Fourth Proportional to 2,375.14, 3,562.23 and 913.96

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Solution

The fourth proportional to 2,375.14, 3,562.23 and 913.96 is: 1,370.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.14 : 3,562.23 = 913.96 : x
  2. Step 2: Convert to fraction form
    2,375.14/3,562.23 = 913.96/x
  3. Step 3: Cross multiply
    2,375.14x = 3,562.23 × 913.96
  4. Step 4: Simplify right side
    2,375.14x = 3,255,735.73
  5. Step 5: Solve for x
    x = 3,255,735.73/2,375.14
  6. Step 6: Final answer
    x = 1,370.76

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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.