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Finding the Fourth Proportional to 2,675.74, 4,013.63 and 944.37

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Solution

The fourth proportional to 2,675.74, 4,013.63 and 944.37 is: 1,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.74 : 4,013.63 = 944.37 : x
  2. Step 2: Convert to fraction form
    2,675.74/4,013.63 = 944.37/x
  3. Step 3: Cross multiply
    2,675.74x = 4,013.63 × 944.37
  4. Step 4: Simplify right side
    2,675.74x = 3,790,336.64
  5. Step 5: Solve for x
    x = 3,790,336.64/2,675.74
  6. Step 6: Final answer
    x = 1,416.56

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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.