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Finding the Fourth Proportional to 2,257.92, 3,111.69 and 1,549.98

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Solution

The fourth proportional to 2,257.92, 3,111.69 and 1,549.98 is: 2,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.92 : 3,111.69 = 1,549.98 : x
  2. Step 2: Convert to fraction form
    2,257.92/3,111.69 = 1,549.98/x
  3. Step 3: Cross multiply
    2,257.92x = 3,111.69 × 1,549.98
  4. Step 4: Simplify right side
    2,257.92x = 4,823,057.27
  5. Step 5: Solve for x
    x = 4,823,057.27/2,257.92
  6. Step 6: Final answer
    x = 2,136.06

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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.