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Finding the Fourth Proportional to 1,833.09, 2,749.62 and 446.42

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Solution

The fourth proportional to 1,833.09, 2,749.62 and 446.42 is: 669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.09 : 2,749.62 = 446.42 : x
  2. Step 2: Convert to fraction form
    1,833.09/2,749.62 = 446.42/x
  3. Step 3: Cross multiply
    1,833.09x = 2,749.62 × 446.42
  4. Step 4: Simplify right side
    1,833.09x = 1,227,485.36
  5. Step 5: Solve for x
    x = 1,227,485.36/1,833.09
  6. Step 6: Final answer
    x = 669.63

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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.