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Finding the Fourth Proportional to 2,783.25, 3,839.81 and 1,775.34

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Solution

The fourth proportional to 2,783.25, 3,839.81 and 1,775.34 is: 2,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.25 : 3,839.81 = 1,775.34 : x
  2. Step 2: Convert to fraction form
    2,783.25/3,839.81 = 1,775.34/x
  3. Step 3: Cross multiply
    2,783.25x = 3,839.81 × 1,775.34
  4. Step 4: Simplify right side
    2,783.25x = 6,816,959.41
  5. Step 5: Solve for x
    x = 6,816,959.41/2,783.25
  6. Step 6: Final answer
    x = 2,449.28

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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.