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Finding the Fourth Proportional to 1,722.81, 2,583.77 and 748.69

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Solution

The fourth proportional to 1,722.81, 2,583.77 and 748.69 is: 1,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.81 : 2,583.77 = 748.69 : x
  2. Step 2: Convert to fraction form
    1,722.81/2,583.77 = 748.69/x
  3. Step 3: Cross multiply
    1,722.81x = 2,583.77 × 748.69
  4. Step 4: Simplify right side
    1,722.81x = 1,934,432.56
  5. Step 5: Solve for x
    x = 1,934,432.56/1,722.81
  6. Step 6: Final answer
    x = 1,122.83

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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.