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Finding the Fourth Proportional to 2,684.48, 4,025.17 and 1,589.61

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Solution

The fourth proportional to 2,684.48, 4,025.17 and 1,589.61 is: 2,383.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.48 : 4,025.17 = 1,589.61 : x
  2. Step 2: Convert to fraction form
    2,684.48/4,025.17 = 1,589.61/x
  3. Step 3: Cross multiply
    2,684.48x = 4,025.17 × 1,589.61
  4. Step 4: Simplify right side
    2,684.48x = 6,398,430.36
  5. Step 5: Solve for x
    x = 6,398,430.36/2,684.48
  6. Step 6: Final answer
    x = 2,383.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.