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Finding the Fourth Proportional to 2,380.93, 3,282.81 and 2,048.77

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Solution

The fourth proportional to 2,380.93, 3,282.81 and 2,048.77 is: 2,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.93 : 3,282.81 = 2,048.77 : x
  2. Step 2: Convert to fraction form
    2,380.93/3,282.81 = 2,048.77/x
  3. Step 3: Cross multiply
    2,380.93x = 3,282.81 × 2,048.77
  4. Step 4: Simplify right side
    2,380.93x = 6,725,731.33
  5. Step 5: Solve for x
    x = 6,725,731.33/2,380.93
  6. Step 6: Final answer
    x = 2,824.84

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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.