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Finding the Fourth Proportional to 2,889.65, 3,987.73 and 1,563.36

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Solution

The fourth proportional to 2,889.65, 3,987.73 and 1,563.36 is: 2,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.65 : 3,987.73 = 1,563.36 : x
  2. Step 2: Convert to fraction form
    2,889.65/3,987.73 = 1,563.36/x
  3. Step 3: Cross multiply
    2,889.65x = 3,987.73 × 1,563.36
  4. Step 4: Simplify right side
    2,889.65x = 6,234,257.57
  5. Step 5: Solve for x
    x = 6,234,257.57/2,889.65
  6. Step 6: Final answer
    x = 2,157.44

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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.