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Finding the Fourth Proportional to 2,378.45, 3,282.17 and 1,383.87

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Solution

The fourth proportional to 2,378.45, 3,282.17 and 1,383.87 is: 1,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.45 : 3,282.17 = 1,383.87 : x
  2. Step 2: Convert to fraction form
    2,378.45/3,282.17 = 1,383.87/x
  3. Step 3: Cross multiply
    2,378.45x = 3,282.17 × 1,383.87
  4. Step 4: Simplify right side
    2,378.45x = 4,542,089.68
  5. Step 5: Solve for x
    x = 4,542,089.68/2,378.45
  6. Step 6: Final answer
    x = 1,909.69

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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.