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Finding the Fourth Proportional to 2,416.58, 3,626.03 and 1,183.31

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Solution

The fourth proportional to 2,416.58, 3,626.03 and 1,183.31 is: 1,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.58 : 3,626.03 = 1,183.31 : x
  2. Step 2: Convert to fraction form
    2,416.58/3,626.03 = 1,183.31/x
  3. Step 3: Cross multiply
    2,416.58x = 3,626.03 × 1,183.31
  4. Step 4: Simplify right side
    2,416.58x = 4,290,720.71
  5. Step 5: Solve for x
    x = 4,290,720.71/2,416.58
  6. Step 6: Final answer
    x = 1,775.54

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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.