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Finding the Fourth Proportional to 2,183.84, 3,278.64 and 1,158.56

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Solution

The fourth proportional to 2,183.84, 3,278.64 and 1,158.56 is: 1,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.84 : 3,278.64 = 1,158.56 : x
  2. Step 2: Convert to fraction form
    2,183.84/3,278.64 = 1,158.56/x
  3. Step 3: Cross multiply
    2,183.84x = 3,278.64 × 1,158.56
  4. Step 4: Simplify right side
    2,183.84x = 3,798,501.16
  5. Step 5: Solve for x
    x = 3,798,501.16/2,183.84
  6. Step 6: Final answer
    x = 1,739.37

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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.