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Finding the Fourth Proportional to 2,495.26, 3,741.54 and 2,082.16

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Solution

The fourth proportional to 2,495.26, 3,741.54 and 2,082.16 is: 3,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.26 : 3,741.54 = 2,082.16 : x
  2. Step 2: Convert to fraction form
    2,495.26/3,741.54 = 2,082.16/x
  3. Step 3: Cross multiply
    2,495.26x = 3,741.54 × 2,082.16
  4. Step 4: Simplify right side
    2,495.26x = 7,790,484.93
  5. Step 5: Solve for x
    x = 7,790,484.93/2,495.26
  6. Step 6: Final answer
    x = 3,122.11

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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.