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Finding the Fourth Proportional to 2,190.18, 3,284.16 and 728.94

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Solution

The fourth proportional to 2,190.18, 3,284.16 and 728.94 is: 1,093.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.18 : 3,284.16 = 728.94 : x
  2. Step 2: Convert to fraction form
    2,190.18/3,284.16 = 728.94/x
  3. Step 3: Cross multiply
    2,190.18x = 3,284.16 × 728.94
  4. Step 4: Simplify right side
    2,190.18x = 2,393,955.59
  5. Step 5: Solve for x
    x = 2,393,955.59/2,190.18
  6. Step 6: Final answer
    x = 1,093.04

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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.