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Finding the Fourth Proportional to 2,474.31, 3,709.23 and 1,157.55

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Solution

The fourth proportional to 2,474.31, 3,709.23 and 1,157.55 is: 1,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.31 : 3,709.23 = 1,157.55 : x
  2. Step 2: Convert to fraction form
    2,474.31/3,709.23 = 1,157.55/x
  3. Step 3: Cross multiply
    2,474.31x = 3,709.23 × 1,157.55
  4. Step 4: Simplify right side
    2,474.31x = 4,293,619.19
  5. Step 5: Solve for x
    x = 4,293,619.19/2,474.31
  6. Step 6: Final answer
    x = 1,735.28

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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.