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Finding the Fourth Proportional to 2,554.34, 3,828.26 and 2,526.80

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Solution

The fourth proportional to 2,554.34, 3,828.26 and 2,526.80 is: 3,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.34 : 3,828.26 = 2,526.80 : x
  2. Step 2: Convert to fraction form
    2,554.34/3,828.26 = 2,526.80/x
  3. Step 3: Cross multiply
    2,554.34x = 3,828.26 × 2,526.80
  4. Step 4: Simplify right side
    2,554.34x = 9,673,234.54
  5. Step 5: Solve for x
    x = 9,673,234.54/2,554.34
  6. Step 6: Final answer
    x = 3,786.99

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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.