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Finding the Fourth Proportional to 2,059.12, 3,089.00 and 1,181.49

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Solution

The fourth proportional to 2,059.12, 3,089.00 and 1,181.49 is: 1,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.12 : 3,089.00 = 1,181.49 : x
  2. Step 2: Convert to fraction form
    2,059.12/3,089.00 = 1,181.49/x
  3. Step 3: Cross multiply
    2,059.12x = 3,089.00 × 1,181.49
  4. Step 4: Simplify right side
    2,059.12x = 3,649,613.98
  5. Step 5: Solve for x
    x = 3,649,613.98/2,059.12
  6. Step 6: Final answer
    x = 1,772.41

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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.