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Finding the Fourth Proportional to 1,722.19, 2,582.83 and 748.07

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Solution

The fourth proportional to 1,722.19, 2,582.83 and 748.07 is: 1,121.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.19 : 2,582.83 = 748.07 : x
  2. Step 2: Convert to fraction form
    1,722.19/2,582.83 = 748.07/x
  3. Step 3: Cross multiply
    1,722.19x = 2,582.83 × 748.07
  4. Step 4: Simplify right side
    1,722.19x = 1,932,120.98
  5. Step 5: Solve for x
    x = 1,932,120.98/1,722.19
  6. Step 6: Final answer
    x = 1,121.90

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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.