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Finding the Fourth Proportional to 2,889.72, 3,985.92 and 2,005.98

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Solution

The fourth proportional to 2,889.72, 3,985.92 and 2,005.98 is: 2,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.72 : 3,985.92 = 2,005.98 : x
  2. Step 2: Convert to fraction form
    2,889.72/3,985.92 = 2,005.98/x
  3. Step 3: Cross multiply
    2,889.72x = 3,985.92 × 2,005.98
  4. Step 4: Simplify right side
    2,889.72x = 7,995,675.80
  5. Step 5: Solve for x
    x = 7,995,675.80/2,889.72
  6. Step 6: Final answer
    x = 2,766.94

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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.