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Finding the Fourth Proportional to 2,383.92, 3,289.68 and 1,375.74

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Solution

The fourth proportional to 2,383.92, 3,289.68 and 1,375.74 is: 1,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.92 : 3,289.68 = 1,375.74 : x
  2. Step 2: Convert to fraction form
    2,383.92/3,289.68 = 1,375.74/x
  3. Step 3: Cross multiply
    2,383.92x = 3,289.68 × 1,375.74
  4. Step 4: Simplify right side
    2,383.92x = 4,525,744.36
  5. Step 5: Solve for x
    x = 4,525,744.36/2,383.92
  6. Step 6: Final answer
    x = 1,898.45

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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.