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Finding the Fourth Proportional to 2,082.55, 3,114.64 and 1,853.05

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Solution

The fourth proportional to 2,082.55, 3,114.64 and 1,853.05 is: 2,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.55 : 3,114.64 = 1,853.05 : x
  2. Step 2: Convert to fraction form
    2,082.55/3,114.64 = 1,853.05/x
  3. Step 3: Cross multiply
    2,082.55x = 3,114.64 × 1,853.05
  4. Step 4: Simplify right side
    2,082.55x = 5,771,583.65
  5. Step 5: Solve for x
    x = 5,771,583.65/2,082.55
  6. Step 6: Final answer
    x = 2,771.40

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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.