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Finding the Fourth Proportional to 2,704.39, 4,056.83 and 830.71

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Solution

The fourth proportional to 2,704.39, 4,056.83 and 830.71 is: 1,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.39 : 4,056.83 = 830.71 : x
  2. Step 2: Convert to fraction form
    2,704.39/4,056.83 = 830.71/x
  3. Step 3: Cross multiply
    2,704.39x = 4,056.83 × 830.71
  4. Step 4: Simplify right side
    2,704.39x = 3,370,035.14
  5. Step 5: Solve for x
    x = 3,370,035.14/2,704.39
  6. Step 6: Final answer
    x = 1,246.14

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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.