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Finding the Fourth Proportional to 1,380.56, 2,070.72 and 1,183.76

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Solution

The fourth proportional to 1,380.56, 2,070.72 and 1,183.76 is: 1,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.56 : 2,070.72 = 1,183.76 : x
  2. Step 2: Convert to fraction form
    1,380.56/2,070.72 = 1,183.76/x
  3. Step 3: Cross multiply
    1,380.56x = 2,070.72 × 1,183.76
  4. Step 4: Simplify right side
    1,380.56x = 2,451,235.51
  5. Step 5: Solve for x
    x = 2,451,235.51/1,380.56
  6. Step 6: Final answer
    x = 1,775.54

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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.