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Finding the Fourth Proportional to 2,245.89, 3,099.16 and 1,288.81

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Solution

The fourth proportional to 2,245.89, 3,099.16 and 1,288.81 is: 1,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.89 : 3,099.16 = 1,288.81 : x
  2. Step 2: Convert to fraction form
    2,245.89/3,099.16 = 1,288.81/x
  3. Step 3: Cross multiply
    2,245.89x = 3,099.16 × 1,288.81
  4. Step 4: Simplify right side
    2,245.89x = 3,994,233.88
  5. Step 5: Solve for x
    x = 3,994,233.88/2,245.89
  6. Step 6: Final answer
    x = 1,778.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.