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Finding the Fourth Proportional to 2,105.48, 3,157.74 and 1,181.45

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Solution

The fourth proportional to 2,105.48, 3,157.74 and 1,181.45 is: 1,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.48 : 3,157.74 = 1,181.45 : x
  2. Step 2: Convert to fraction form
    2,105.48/3,157.74 = 1,181.45/x
  3. Step 3: Cross multiply
    2,105.48x = 3,157.74 × 1,181.45
  4. Step 4: Simplify right side
    2,105.48x = 3,730,696.13
  5. Step 5: Solve for x
    x = 3,730,696.13/2,105.48
  6. Step 6: Final answer
    x = 1,771.90

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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.