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Finding the Fourth Proportional to 2,558.57, 3,837.67 and 684.32

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Solution

The fourth proportional to 2,558.57, 3,837.67 and 684.32 is: 1,026.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.57 : 3,837.67 = 684.32 : x
  2. Step 2: Convert to fraction form
    2,558.57/3,837.67 = 684.32/x
  3. Step 3: Cross multiply
    2,558.57x = 3,837.67 × 684.32
  4. Step 4: Simplify right side
    2,558.57x = 2,626,202.22
  5. Step 5: Solve for x
    x = 2,626,202.22/2,558.57
  6. Step 6: Final answer
    x = 1,026.43

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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.