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Finding the Fourth Proportional to 3,365.66, 4,644.57 and 1,968.41

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Solution

The fourth proportional to 3,365.66, 4,644.57 and 1,968.41 is: 2,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.66 : 4,644.57 = 1,968.41 : x
  2. Step 2: Convert to fraction form
    3,365.66/4,644.57 = 1,968.41/x
  3. Step 3: Cross multiply
    3,365.66x = 4,644.57 × 1,968.41
  4. Step 4: Simplify right side
    3,365.66x = 9,142,437.03
  5. Step 5: Solve for x
    x = 9,142,437.03/3,365.66
  6. Step 6: Final answer
    x = 2,716.39

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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.