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Finding the Fourth Proportional to 2,783.84, 3,843.33 and 2,410.23

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Solution

The fourth proportional to 2,783.84, 3,843.33 and 2,410.23 is: 3,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.84 : 3,843.33 = 2,410.23 : x
  2. Step 2: Convert to fraction form
    2,783.84/3,843.33 = 2,410.23/x
  3. Step 3: Cross multiply
    2,783.84x = 3,843.33 × 2,410.23
  4. Step 4: Simplify right side
    2,783.84x = 9,263,300.23
  5. Step 5: Solve for x
    x = 9,263,300.23/2,783.84
  6. Step 6: Final answer
    x = 3,327.52

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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.