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Finding the Fourth Proportional to 1,723.29, 2,583.81 and 683.43

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Solution

The fourth proportional to 1,723.29, 2,583.81 and 683.43 is: 1,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.29 : 2,583.81 = 683.43 : x
  2. Step 2: Convert to fraction form
    1,723.29/2,583.81 = 683.43/x
  3. Step 3: Cross multiply
    1,723.29x = 2,583.81 × 683.43
  4. Step 4: Simplify right side
    1,723.29x = 1,765,853.27
  5. Step 5: Solve for x
    x = 1,765,853.27/1,723.29
  6. Step 6: Final answer
    x = 1,024.70

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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.