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Finding the Fourth Proportional to 2,383.81, 3,290.05 and 1,389.67

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Solution

The fourth proportional to 2,383.81, 3,290.05 and 1,389.67 is: 1,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.81 : 3,290.05 = 1,389.67 : x
  2. Step 2: Convert to fraction form
    2,383.81/3,290.05 = 1,389.67/x
  3. Step 3: Cross multiply
    2,383.81x = 3,290.05 × 1,389.67
  4. Step 4: Simplify right side
    2,383.81x = 4,572,067.33
  5. Step 5: Solve for x
    x = 4,572,067.33/2,383.81
  6. Step 6: Final answer
    x = 1,917.97

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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.