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Finding the Fourth Proportional to 2,589.48, 3,884.06 and 858.28

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Solution

The fourth proportional to 2,589.48, 3,884.06 and 858.28 is: 1,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.48 : 3,884.06 = 858.28 : x
  2. Step 2: Convert to fraction form
    2,589.48/3,884.06 = 858.28/x
  3. Step 3: Cross multiply
    2,589.48x = 3,884.06 × 858.28
  4. Step 4: Simplify right side
    2,589.48x = 3,333,611.02
  5. Step 5: Solve for x
    x = 3,333,611.02/2,589.48
  6. Step 6: Final answer
    x = 1,287.37

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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.