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Finding the Fourth Proportional to 1,723.08, 2,584.44 and 682.86

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Solution

The fourth proportional to 1,723.08, 2,584.44 and 682.86 is: 1,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.08 : 2,584.44 = 682.86 : x
  2. Step 2: Convert to fraction form
    1,723.08/2,584.44 = 682.86/x
  3. Step 3: Cross multiply
    1,723.08x = 2,584.44 × 682.86
  4. Step 4: Simplify right side
    1,723.08x = 1,764,810.70
  5. Step 5: Solve for x
    x = 1,764,810.70/1,723.08
  6. Step 6: Final answer
    x = 1,024.22

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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.