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Finding the Fourth Proportional to 1,563.69, 2,157.89 and 855.48

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Solution

The fourth proportional to 1,563.69, 2,157.89 and 855.48 is: 1,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.69 : 2,157.89 = 855.48 : x
  2. Step 2: Convert to fraction form
    1,563.69/2,157.89 = 855.48/x
  3. Step 3: Cross multiply
    1,563.69x = 2,157.89 × 855.48
  4. Step 4: Simplify right side
    1,563.69x = 1,846,027.46
  5. Step 5: Solve for x
    x = 1,846,027.46/1,563.69
  6. Step 6: Final answer
    x = 1,180.56

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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.