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Finding the Fourth Proportional to 2,558.39, 3,830.29 and 2,168.37

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Solution

The fourth proportional to 2,558.39, 3,830.29 and 2,168.37 is: 3,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.39 : 3,830.29 = 2,168.37 : x
  2. Step 2: Convert to fraction form
    2,558.39/3,830.29 = 2,168.37/x
  3. Step 3: Cross multiply
    2,558.39x = 3,830.29 × 2,168.37
  4. Step 4: Simplify right side
    2,558.39x = 8,305,480.51
  5. Step 5: Solve for x
    x = 8,305,480.51/2,558.39
  6. Step 6: Final answer
    x = 3,246.38

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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.