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Finding the Fourth Proportional to 2,105.41, 3,157.58 and 873.16

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Solution

The fourth proportional to 2,105.41, 3,157.58 and 873.16 is: 1,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.41 : 3,157.58 = 873.16 : x
  2. Step 2: Convert to fraction form
    2,105.41/3,157.58 = 873.16/x
  3. Step 3: Cross multiply
    2,105.41x = 3,157.58 × 873.16
  4. Step 4: Simplify right side
    2,105.41x = 2,757,072.55
  5. Step 5: Solve for x
    x = 2,757,072.55/2,105.41
  6. Step 6: Final answer
    x = 1,309.52

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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.