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Finding the Fourth Proportional to 1,783.97, 2,672.62 and 1,493.33

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Solution

The fourth proportional to 1,783.97, 2,672.62 and 1,493.33 is: 2,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.97 : 2,672.62 = 1,493.33 : x
  2. Step 2: Convert to fraction form
    1,783.97/2,672.62 = 1,493.33/x
  3. Step 3: Cross multiply
    1,783.97x = 2,672.62 × 1,493.33
  4. Step 4: Simplify right side
    1,783.97x = 3,991,096.16
  5. Step 5: Solve for x
    x = 3,991,096.16/1,783.97
  6. Step 6: Final answer
    x = 2,237.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.