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Finding the Fourth Proportional to 2,082.76, 2,874.15 and 1,197.94

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Solution

The fourth proportional to 2,082.76, 2,874.15 and 1,197.94 is: 1,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.76 : 2,874.15 = 1,197.94 : x
  2. Step 2: Convert to fraction form
    2,082.76/2,874.15 = 1,197.94/x
  3. Step 3: Cross multiply
    2,082.76x = 2,874.15 × 1,197.94
  4. Step 4: Simplify right side
    2,082.76x = 3,443,059.25
  5. Step 5: Solve for x
    x = 3,443,059.25/2,082.76
  6. Step 6: Final answer
    x = 1,653.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.