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Finding the Fourth Proportional to 2,503.12, 3,454.60 and 2,082.73

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Solution

The fourth proportional to 2,503.12, 3,454.60 and 2,082.73 is: 2,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.12 : 3,454.60 = 2,082.73 : x
  2. Step 2: Convert to fraction form
    2,503.12/3,454.60 = 2,082.73/x
  3. Step 3: Cross multiply
    2,503.12x = 3,454.60 × 2,082.73
  4. Step 4: Simplify right side
    2,503.12x = 7,194,985.21
  5. Step 5: Solve for x
    x = 7,194,985.21/2,503.12
  6. Step 6: Final answer
    x = 2,874.41

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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.