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Finding the Fourth Proportional to 3,157.41, 4,735.43 and 1,182.96

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Solution

The fourth proportional to 3,157.41, 4,735.43 and 1,182.96 is: 1,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.41 : 4,735.43 = 1,182.96 : x
  2. Step 2: Convert to fraction form
    3,157.41/4,735.43 = 1,182.96/x
  3. Step 3: Cross multiply
    3,157.41x = 4,735.43 × 1,182.96
  4. Step 4: Simplify right side
    3,157.41x = 5,601,824.27
  5. Step 5: Solve for x
    x = 5,601,824.27/3,157.41
  6. Step 6: Final answer
    x = 1,774.18

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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.