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Finding the Fourth Proportional to 1,863.56, 2,571.72 and 1,078.07

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Solution

The fourth proportional to 1,863.56, 2,571.72 and 1,078.07 is: 1,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.56 : 2,571.72 = 1,078.07 : x
  2. Step 2: Convert to fraction form
    1,863.56/2,571.72 = 1,078.07/x
  3. Step 3: Cross multiply
    1,863.56x = 2,571.72 × 1,078.07
  4. Step 4: Simplify right side
    1,863.56x = 2,772,477.28
  5. Step 5: Solve for x
    x = 2,772,477.28/1,863.56
  6. Step 6: Final answer
    x = 1,487.73

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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.