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Finding the Fourth Proportional to 2,378.93, 3,282.90 and 1,384.25

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Solution

The fourth proportional to 2,378.93, 3,282.90 and 1,384.25 is: 1,910.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.93 : 3,282.90 = 1,384.25 : x
  2. Step 2: Convert to fraction form
    2,378.93/3,282.90 = 1,384.25/x
  3. Step 3: Cross multiply
    2,378.93x = 3,282.90 × 1,384.25
  4. Step 4: Simplify right side
    2,378.93x = 4,544,354.33
  5. Step 5: Solve for x
    x = 4,544,354.33/2,378.93
  6. Step 6: Final answer
    x = 1,910.25

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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.