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Finding the Fourth Proportional to 2,589.40, 3,885.68 and 1,029.12

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Solution

The fourth proportional to 2,589.40, 3,885.68 and 1,029.12 is: 1,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.40 : 3,885.68 = 1,029.12 : x
  2. Step 2: Convert to fraction form
    2,589.40/3,885.68 = 1,029.12/x
  3. Step 3: Cross multiply
    2,589.40x = 3,885.68 × 1,029.12
  4. Step 4: Simplify right side
    2,589.40x = 3,998,831.00
  5. Step 5: Solve for x
    x = 3,998,831.00/2,589.40
  6. Step 6: Final answer
    x = 1,544.31

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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.