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Finding the Fourth Proportional to 2,585.94, 3,879.21 and 943.26

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Solution

The fourth proportional to 2,585.94, 3,879.21 and 943.26 is: 1,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.94 : 3,879.21 = 943.26 : x
  2. Step 2: Convert to fraction form
    2,585.94/3,879.21 = 943.26/x
  3. Step 3: Cross multiply
    2,585.94x = 3,879.21 × 943.26
  4. Step 4: Simplify right side
    2,585.94x = 3,659,103.62
  5. Step 5: Solve for x
    x = 3,659,103.62/2,585.94
  6. Step 6: Final answer
    x = 1,415.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.