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Finding the Fourth Proportional to 1,833.22, 2,749.81 and 446.58

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Solution

The fourth proportional to 1,833.22, 2,749.81 and 446.58 is: 669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.22 : 2,749.81 = 446.58 : x
  2. Step 2: Convert to fraction form
    1,833.22/2,749.81 = 446.58/x
  3. Step 3: Cross multiply
    1,833.22x = 2,749.81 × 446.58
  4. Step 4: Simplify right side
    1,833.22x = 1,228,010.15
  5. Step 5: Solve for x
    x = 1,228,010.15/1,833.22
  6. Step 6: Final answer
    x = 669.87

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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.