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Finding the Fourth Proportional to 1,722.30, 2,581.93 and 683.03

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Solution

The fourth proportional to 1,722.30, 2,581.93 and 683.03 is: 1,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.30 : 2,581.93 = 683.03 : x
  2. Step 2: Convert to fraction form
    1,722.30/2,581.93 = 683.03/x
  3. Step 3: Cross multiply
    1,722.30x = 2,581.93 × 683.03
  4. Step 4: Simplify right side
    1,722.30x = 1,763,535.69
  5. Step 5: Solve for x
    x = 1,763,535.69/1,722.30
  6. Step 6: Final answer
    x = 1,023.94

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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.