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Finding the Fourth Proportional to 2,706.96, 4,058.91 and 858.54

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Solution

The fourth proportional to 2,706.96, 4,058.91 and 858.54 is: 1,287.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.96 : 4,058.91 = 858.54 : x
  2. Step 2: Convert to fraction form
    2,706.96/4,058.91 = 858.54/x
  3. Step 3: Cross multiply
    2,706.96x = 4,058.91 × 858.54
  4. Step 4: Simplify right side
    2,706.96x = 3,484,736.59
  5. Step 5: Solve for x
    x = 3,484,736.59/2,706.96
  6. Step 6: Final answer
    x = 1,287.32

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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.