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Finding the Fourth Proportional to 2,554.28, 3,831.43 and 910.88

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Solution

The fourth proportional to 2,554.28, 3,831.43 and 910.88 is: 1,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.28 : 3,831.43 = 910.88 : x
  2. Step 2: Convert to fraction form
    2,554.28/3,831.43 = 910.88/x
  3. Step 3: Cross multiply
    2,554.28x = 3,831.43 × 910.88
  4. Step 4: Simplify right side
    2,554.28x = 3,489,972.96
  5. Step 5: Solve for x
    x = 3,489,972.96/2,554.28
  6. Step 6: Final answer
    x = 1,366.32

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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.