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Finding the Fourth Proportional to 2,889.79, 3,987.91 and 1,563.50

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Solution

The fourth proportional to 2,889.79, 3,987.91 and 1,563.50 is: 2,157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.79 : 3,987.91 = 1,563.50 : x
  2. Step 2: Convert to fraction form
    2,889.79/3,987.91 = 1,563.50/x
  3. Step 3: Cross multiply
    2,889.79x = 3,987.91 × 1,563.50
  4. Step 4: Simplify right side
    2,889.79x = 6,235,069.53
  5. Step 5: Solve for x
    x = 6,235,069.53/2,889.79
  6. Step 6: Final answer
    x = 2,157.62

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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.