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Finding the Fourth Proportional to 2,141.72, 3,211.34 and 1,044.98

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Solution

The fourth proportional to 2,141.72, 3,211.34 and 1,044.98 is: 1,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.72 : 3,211.34 = 1,044.98 : x
  2. Step 2: Convert to fraction form
    2,141.72/3,211.34 = 1,044.98/x
  3. Step 3: Cross multiply
    2,141.72x = 3,211.34 × 1,044.98
  4. Step 4: Simplify right side
    2,141.72x = 3,355,786.07
  5. Step 5: Solve for x
    x = 3,355,786.07/2,141.72
  6. Step 6: Final answer
    x = 1,566.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.