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Finding the Fourth Proportional to 2,584.38, 3,873.04 and 1,349.26

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Solution

The fourth proportional to 2,584.38, 3,873.04 and 1,349.26 is: 2,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.38 : 3,873.04 = 1,349.26 : x
  2. Step 2: Convert to fraction form
    2,584.38/3,873.04 = 1,349.26/x
  3. Step 3: Cross multiply
    2,584.38x = 3,873.04 × 1,349.26
  4. Step 4: Simplify right side
    2,584.38x = 5,225,737.95
  5. Step 5: Solve for x
    x = 5,225,737.95/2,584.38
  6. Step 6: Final answer
    x = 2,022.05

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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.