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Finding the Fourth Proportional to 1,788.88, 2,683.83 and 748.34

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Solution

The fourth proportional to 1,788.88, 2,683.83 and 748.34 is: 1,122.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.88 : 2,683.83 = 748.34 : x
  2. Step 2: Convert to fraction form
    1,788.88/2,683.83 = 748.34/x
  3. Step 3: Cross multiply
    1,788.88x = 2,683.83 × 748.34
  4. Step 4: Simplify right side
    1,788.88x = 2,008,426.86
  5. Step 5: Solve for x
    x = 2,008,426.86/1,788.88
  6. Step 6: Final answer
    x = 1,122.73

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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.