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Finding the Fourth Proportional to 4,880.93, 7,321.41 and 1,183.14

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Solution

The fourth proportional to 4,880.93, 7,321.41 and 1,183.14 is: 1,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,880.93 : 7,321.41 = 1,183.14 : x
  2. Step 2: Convert to fraction form
    4,880.93/7,321.41 = 1,183.14/x
  3. Step 3: Cross multiply
    4,880.93x = 7,321.41 × 1,183.14
  4. Step 4: Simplify right side
    4,880.93x = 8,662,253.03
  5. Step 5: Solve for x
    x = 8,662,253.03/4,880.93
  6. Step 6: Final answer
    x = 1,774.72

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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.