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Finding the Fourth Proportional to 2,235.72, 3,086.69 and 2,096.25

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Solution

The fourth proportional to 2,235.72, 3,086.69 and 2,096.25 is: 2,894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.72 : 3,086.69 = 2,096.25 : x
  2. Step 2: Convert to fraction form
    2,235.72/3,086.69 = 2,096.25/x
  3. Step 3: Cross multiply
    2,235.72x = 3,086.69 × 2,096.25
  4. Step 4: Simplify right side
    2,235.72x = 6,470,463.43
  5. Step 5: Solve for x
    x = 6,470,463.43/2,235.72
  6. Step 6: Final answer
    x = 2,894.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.