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Finding the Fourth Proportional to 2,743.68, 3,783.36 and 2,043.84

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Solution

The fourth proportional to 2,743.68, 3,783.36 and 2,043.84 is: 2,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.68 : 3,783.36 = 2,043.84 : x
  2. Step 2: Convert to fraction form
    2,743.68/3,783.36 = 2,043.84/x
  3. Step 3: Cross multiply
    2,743.68x = 3,783.36 × 2,043.84
  4. Step 4: Simplify right side
    2,743.68x = 7,732,582.50
  5. Step 5: Solve for x
    x = 7,732,582.50/2,743.68
  6. Step 6: Final answer
    x = 2,818.33

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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.