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Finding the Fourth Proportional to 2,190.18, 3,285.27 and 728.76

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Solution

The fourth proportional to 2,190.18, 3,285.27 and 728.76 is: 1,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.18 : 3,285.27 = 728.76 : x
  2. Step 2: Convert to fraction form
    2,190.18/3,285.27 = 728.76/x
  3. Step 3: Cross multiply
    2,190.18x = 3,285.27 × 728.76
  4. Step 4: Simplify right side
    2,190.18x = 2,394,173.37
  5. Step 5: Solve for x
    x = 2,394,173.37/2,190.18
  6. Step 6: Final answer
    x = 1,093.14

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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.