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Finding the Fourth Proportional to 2,886.94, 3,982.93 and 1,824.81

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Solution

The fourth proportional to 2,886.94, 3,982.93 and 1,824.81 is: 2,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.94 : 3,982.93 = 1,824.81 : x
  2. Step 2: Convert to fraction form
    2,886.94/3,982.93 = 1,824.81/x
  3. Step 3: Cross multiply
    2,886.94x = 3,982.93 × 1,824.81
  4. Step 4: Simplify right side
    2,886.94x = 7,268,090.49
  5. Step 5: Solve for x
    x = 7,268,090.49/2,886.94
  6. Step 6: Final answer
    x = 2,517.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.