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Finding the Fourth Proportional to 2,589.86, 3,884.70 and 1,029.62

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Solution

The fourth proportional to 2,589.86, 3,884.70 and 1,029.62 is: 1,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.86 : 3,884.70 = 1,029.62 : x
  2. Step 2: Convert to fraction form
    2,589.86/3,884.70 = 1,029.62/x
  3. Step 3: Cross multiply
    2,589.86x = 3,884.70 × 1,029.62
  4. Step 4: Simplify right side
    2,589.86x = 3,999,764.81
  5. Step 5: Solve for x
    x = 3,999,764.81/2,589.86
  6. Step 6: Final answer
    x = 1,544.39

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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.