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Finding the Fourth Proportional to 1,989, 2,744.82 and 1,104.84

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Solution

The fourth proportional to 1,989, 2,744.82 and 1,104.84 is: 1,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989 : 2,744.82 = 1,104.84 : x
  2. Step 2: Convert to fraction form
    1,989/2,744.82 = 1,104.84/x
  3. Step 3: Cross multiply
    1,989x = 2,744.82 × 1,104.84
  4. Step 4: Simplify right side
    1,989x = 3,032,586.93
  5. Step 5: Solve for x
    x = 3,032,586.93/1,989
  6. Step 6: Final answer
    x = 1,524.68

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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.