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Finding the Fourth Proportional to 2,293.94, 3,164.60 and 1,349.24

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Solution

The fourth proportional to 2,293.94, 3,164.60 and 1,349.24 is: 1,861.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.94 : 3,164.60 = 1,349.24 : x
  2. Step 2: Convert to fraction form
    2,293.94/3,164.60 = 1,349.24/x
  3. Step 3: Cross multiply
    2,293.94x = 3,164.60 × 1,349.24
  4. Step 4: Simplify right side
    2,293.94x = 4,269,804.90
  5. Step 5: Solve for x
    x = 4,269,804.90/2,293.94
  6. Step 6: Final answer
    x = 1,861.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.