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Finding the Fourth Proportional to 2,589.48, 3,884.94 and 1,614.60

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Solution

The fourth proportional to 2,589.48, 3,884.94 and 1,614.60 is: 2,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.48 : 3,884.94 = 1,614.60 : x
  2. Step 2: Convert to fraction form
    2,589.48/3,884.94 = 1,614.60/x
  3. Step 3: Cross multiply
    2,589.48x = 3,884.94 × 1,614.60
  4. Step 4: Simplify right side
    2,589.48x = 6,272,624.12
  5. Step 5: Solve for x
    x = 6,272,624.12/2,589.48
  6. Step 6: Final answer
    x = 2,422.35

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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.