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Finding the Fourth Proportional to 2,554.14, 3,831.30 and 994.26

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Solution

The fourth proportional to 2,554.14, 3,831.30 and 994.26 is: 1,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.14 : 3,831.30 = 994.26 : x
  2. Step 2: Convert to fraction form
    2,554.14/3,831.30 = 994.26/x
  3. Step 3: Cross multiply
    2,554.14x = 3,831.30 × 994.26
  4. Step 4: Simplify right side
    2,554.14x = 3,809,308.34
  5. Step 5: Solve for x
    x = 3,809,308.34/2,554.14
  6. Step 6: Final answer
    x = 1,491.43

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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.