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Finding the Fourth Proportional to 2,194.15, 3,285.15 and 2,133.40

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Solution

The fourth proportional to 2,194.15, 3,285.15 and 2,133.40 is: 3,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.15 : 3,285.15 = 2,133.40 : x
  2. Step 2: Convert to fraction form
    2,194.15/3,285.15 = 2,133.40/x
  3. Step 3: Cross multiply
    2,194.15x = 3,285.15 × 2,133.40
  4. Step 4: Simplify right side
    2,194.15x = 7,008,539.01
  5. Step 5: Solve for x
    x = 7,008,539.01/2,194.15
  6. Step 6: Final answer
    x = 3,194.19

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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.