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Finding the Fourth Proportional to 1,383.07, 1,906.62 and 1,050.92

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Solution

The fourth proportional to 1,383.07, 1,906.62 and 1,050.92 is: 1,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.07 : 1,906.62 = 1,050.92 : x
  2. Step 2: Convert to fraction form
    1,383.07/1,906.62 = 1,050.92/x
  3. Step 3: Cross multiply
    1,383.07x = 1,906.62 × 1,050.92
  4. Step 4: Simplify right side
    1,383.07x = 2,003,705.09
  5. Step 5: Solve for x
    x = 2,003,705.09/1,383.07
  6. Step 6: Final answer
    x = 1,448.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.