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Finding the Fourth Proportional to 2,096.98, 3,142.73 and 1,607.65

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Solution

The fourth proportional to 2,096.98, 3,142.73 and 1,607.65 is: 2,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.98 : 3,142.73 = 1,607.65 : x
  2. Step 2: Convert to fraction form
    2,096.98/3,142.73 = 1,607.65/x
  3. Step 3: Cross multiply
    2,096.98x = 3,142.73 × 1,607.65
  4. Step 4: Simplify right side
    2,096.98x = 5,052,406.05
  5. Step 5: Solve for x
    x = 5,052,406.05/2,096.98
  6. Step 6: Final answer
    x = 2,409.38

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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.