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Finding the Fourth Proportional to 1,563.90, 2,158.17 and 855.72

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Solution

The fourth proportional to 1,563.90, 2,158.17 and 855.72 is: 1,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.90 : 2,158.17 = 855.72 : x
  2. Step 2: Convert to fraction form
    1,563.90/2,158.17 = 855.72/x
  3. Step 3: Cross multiply
    1,563.90x = 2,158.17 × 855.72
  4. Step 4: Simplify right side
    1,563.90x = 1,846,789.23
  5. Step 5: Solve for x
    x = 1,846,789.23/1,563.90
  6. Step 6: Final answer
    x = 1,180.89

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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.