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Finding the Fourth Proportional to 2,116.72, 3,177.78 and 2,018.26

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Solution

The fourth proportional to 2,116.72, 3,177.78 and 2,018.26 is: 3,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.72 : 3,177.78 = 2,018.26 : x
  2. Step 2: Convert to fraction form
    2,116.72/3,177.78 = 2,018.26/x
  3. Step 3: Cross multiply
    2,116.72x = 3,177.78 × 2,018.26
  4. Step 4: Simplify right side
    2,116.72x = 6,413,586.26
  5. Step 5: Solve for x
    x = 6,413,586.26/2,116.72
  6. Step 6: Final answer
    x = 3,029.96

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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.