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Finding the Fourth Proportional to 1,722.55, 2,582.73 and 796.87

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Solution

The fourth proportional to 1,722.55, 2,582.73 and 796.87 is: 1,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.55 : 2,582.73 = 796.87 : x
  2. Step 2: Convert to fraction form
    1,722.55/2,582.73 = 796.87/x
  3. Step 3: Cross multiply
    1,722.55x = 2,582.73 × 796.87
  4. Step 4: Simplify right side
    1,722.55x = 2,058,100.06
  5. Step 5: Solve for x
    x = 2,058,100.06/1,722.55
  6. Step 6: Final answer
    x = 1,194.80

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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.