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Finding the Fourth Proportional to 2,589.91, 3,864.81 and 2,313.02

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Solution

The fourth proportional to 2,589.91, 3,864.81 and 2,313.02 is: 3,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.91 : 3,864.81 = 2,313.02 : x
  2. Step 2: Convert to fraction form
    2,589.91/3,864.81 = 2,313.02/x
  3. Step 3: Cross multiply
    2,589.91x = 3,864.81 × 2,313.02
  4. Step 4: Simplify right side
    2,589.91x = 8,939,401.16
  5. Step 5: Solve for x
    x = 8,939,401.16/2,589.91
  6. Step 6: Final answer
    x = 3,451.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.