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Finding the Fourth Proportional to 3,011.96, 4,157.28 and 1,832.84

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Solution

The fourth proportional to 3,011.96, 4,157.28 and 1,832.84 is: 2,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.96 : 4,157.28 = 1,832.84 : x
  2. Step 2: Convert to fraction form
    3,011.96/4,157.28 = 1,832.84/x
  3. Step 3: Cross multiply
    3,011.96x = 4,157.28 × 1,832.84
  4. Step 4: Simplify right side
    3,011.96x = 7,619,629.08
  5. Step 5: Solve for x
    x = 7,619,629.08/3,011.96
  6. Step 6: Final answer
    x = 2,529.79

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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.