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Finding the Fourth Proportional to 2,554, 3,524.68 and 1,450

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Solution

The fourth proportional to 2,554, 3,524.68 and 1,450 is: 2,001.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554 : 3,524.68 = 1,450 : x
  2. Step 2: Convert to fraction form
    2,554/3,524.68 = 1,450/x
  3. Step 3: Cross multiply
    2,554x = 3,524.68 × 1,450
  4. Step 4: Simplify right side
    2,554x = 5,110,786
  5. Step 5: Solve for x
    x = 5,110,786/2,554
  6. Step 6: Final answer
    x = 2,001.09

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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.