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Finding the Fourth Proportional to 2,589.41, 3,877.93 and 1,491.47

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Solution

The fourth proportional to 2,589.41, 3,877.93 and 1,491.47 is: 2,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.41 : 3,877.93 = 1,491.47 : x
  2. Step 2: Convert to fraction form
    2,589.41/3,877.93 = 1,491.47/x
  3. Step 3: Cross multiply
    2,589.41x = 3,877.93 × 1,491.47
  4. Step 4: Simplify right side
    2,589.41x = 5,783,816.26
  5. Step 5: Solve for x
    x = 5,783,816.26/2,589.41
  6. Step 6: Final answer
    x = 2,233.65

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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.