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Finding the Fourth Proportional to 3,286.59, 4,924.41 and 1,434.93

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Solution

The fourth proportional to 3,286.59, 4,924.41 and 1,434.93 is: 2,150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.59 : 4,924.41 = 1,434.93 : x
  2. Step 2: Convert to fraction form
    3,286.59/4,924.41 = 1,434.93/x
  3. Step 3: Cross multiply
    3,286.59x = 4,924.41 × 1,434.93
  4. Step 4: Simplify right side
    3,286.59x = 7,066,183.64
  5. Step 5: Solve for x
    x = 7,066,183.64/3,286.59
  6. Step 6: Final answer
    x = 2,150.00

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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.