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Finding the Fourth Proportional to 2,446.94, 3,669.84 and 1,568.16

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Solution

The fourth proportional to 2,446.94, 3,669.84 and 1,568.16 is: 2,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.94 : 3,669.84 = 1,568.16 : x
  2. Step 2: Convert to fraction form
    2,446.94/3,669.84 = 1,568.16/x
  3. Step 3: Cross multiply
    2,446.94x = 3,669.84 × 1,568.16
  4. Step 4: Simplify right side
    2,446.94x = 5,754,896.29
  5. Step 5: Solve for x
    x = 5,754,896.29/2,446.94
  6. Step 6: Final answer
    x = 2,351.87

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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.