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Finding the Fourth Proportional to 2,589.77, 3,884.66 and 2,233.02

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Solution

The fourth proportional to 2,589.77, 3,884.66 and 2,233.02 is: 3,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.77 : 3,884.66 = 2,233.02 : x
  2. Step 2: Convert to fraction form
    2,589.77/3,884.66 = 2,233.02/x
  3. Step 3: Cross multiply
    2,589.77x = 3,884.66 × 2,233.02
  4. Step 4: Simplify right side
    2,589.77x = 8,674,513.40
  5. Step 5: Solve for x
    x = 8,674,513.40/2,589.77
  6. Step 6: Final answer
    x = 3,349.53

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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.