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Finding the Fourth Proportional to 3,410.03, 4,705.89 and 2,012.78

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Solution

The fourth proportional to 3,410.03, 4,705.89 and 2,012.78 is: 2,777.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.03 : 4,705.89 = 2,012.78 : x
  2. Step 2: Convert to fraction form
    3,410.03/4,705.89 = 2,012.78/x
  3. Step 3: Cross multiply
    3,410.03x = 4,705.89 × 2,012.78
  4. Step 4: Simplify right side
    3,410.03x = 9,471,921.27
  5. Step 5: Solve for x
    x = 9,471,921.27/3,410.03
  6. Step 6: Final answer
    x = 2,777.67

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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.