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Finding the Fourth Proportional to 2,190.04, 3,284.82 and 729.28

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Solution

The fourth proportional to 2,190.04, 3,284.82 and 729.28 is: 1,093.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.04 : 3,284.82 = 729.28 : x
  2. Step 2: Convert to fraction form
    2,190.04/3,284.82 = 729.28/x
  3. Step 3: Cross multiply
    2,190.04x = 3,284.82 × 729.28
  4. Step 4: Simplify right side
    2,190.04x = 2,395,553.53
  5. Step 5: Solve for x
    x = 2,395,553.53/2,190.04
  6. Step 6: Final answer
    x = 1,093.84

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