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Finding the Fourth Proportional to 2,889.22, 3,987.14 and 1,630.33

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Solution

The fourth proportional to 2,889.22, 3,987.14 and 1,630.33 is: 2,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.22 : 3,987.14 = 1,630.33 : x
  2. Step 2: Convert to fraction form
    2,889.22/3,987.14 = 1,630.33/x
  3. Step 3: Cross multiply
    2,889.22x = 3,987.14 × 1,630.33
  4. Step 4: Simplify right side
    2,889.22x = 6,500,345.01
  5. Step 5: Solve for x
    x = 6,500,345.01/2,889.22
  6. Step 6: Final answer
    x = 2,249.86

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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.