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Finding the Fourth Proportional to 2,383.92, 3,289.56 and 1,389.11

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Solution

The fourth proportional to 2,383.92, 3,289.56 and 1,389.11 is: 1,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.92 : 3,289.56 = 1,389.11 : x
  2. Step 2: Convert to fraction form
    2,383.92/3,289.56 = 1,389.11/x
  3. Step 3: Cross multiply
    2,383.92x = 3,289.56 × 1,389.11
  4. Step 4: Simplify right side
    2,383.92x = 4,569,544.24
  5. Step 5: Solve for x
    x = 4,569,544.24/2,383.92
  6. Step 6: Final answer
    x = 1,916.82

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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.