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Finding the Fourth Proportional to 2,072.41, 2,859.84 and 1,188.16

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Solution

The fourth proportional to 2,072.41, 2,859.84 and 1,188.16 is: 1,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.41 : 2,859.84 = 1,188.16 : x
  2. Step 2: Convert to fraction form
    2,072.41/2,859.84 = 1,188.16/x
  3. Step 3: Cross multiply
    2,072.41x = 2,859.84 × 1,188.16
  4. Step 4: Simplify right side
    2,072.41x = 3,397,947.49
  5. Step 5: Solve for x
    x = 3,397,947.49/2,072.41
  6. Step 6: Final answer
    x = 1,639.61

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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.