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Finding the Fourth Proportional to 4,164.55, 6,242.74 and 2,081.43

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Solution

The fourth proportional to 4,164.55, 6,242.74 and 2,081.43 is: 3,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.55 : 6,242.74 = 2,081.43 : x
  2. Step 2: Convert to fraction form
    4,164.55/6,242.74 = 2,081.43/x
  3. Step 3: Cross multiply
    4,164.55x = 6,242.74 × 2,081.43
  4. Step 4: Simplify right side
    4,164.55x = 12,993,821.11
  5. Step 5: Solve for x
    x = 12,993,821.11/4,164.55
  6. Step 6: Final answer
    x = 3,120.10

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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.