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Finding the Fourth Proportional to 2,594.26, 3,898.86 and 2,158.21

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Solution

The fourth proportional to 2,594.26, 3,898.86 and 2,158.21 is: 3,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.26 : 3,898.86 = 2,158.21 : x
  2. Step 2: Convert to fraction form
    2,594.26/3,898.86 = 2,158.21/x
  3. Step 3: Cross multiply
    2,594.26x = 3,898.86 × 2,158.21
  4. Step 4: Simplify right side
    2,594.26x = 8,414,558.64
  5. Step 5: Solve for x
    x = 8,414,558.64/2,594.26
  6. Step 6: Final answer
    x = 3,243.53

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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.