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Finding the Fourth Proportional to 2,554.62, 3,830.83 and 1,168.83

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Solution

The fourth proportional to 2,554.62, 3,830.83 and 1,168.83 is: 1,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.62 : 3,830.83 = 1,168.83 : x
  2. Step 2: Convert to fraction form
    2,554.62/3,830.83 = 1,168.83/x
  3. Step 3: Cross multiply
    2,554.62x = 3,830.83 × 1,168.83
  4. Step 4: Simplify right side
    2,554.62x = 4,477,589.03
  5. Step 5: Solve for x
    x = 4,477,589.03/2,554.62
  6. Step 6: Final answer
    x = 1,752.74

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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.