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Finding the Fourth Proportional to 2,546.55, 3,821.67 and 903.11

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Solution

The fourth proportional to 2,546.55, 3,821.67 and 903.11 is: 1,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.55 : 3,821.67 = 903.11 : x
  2. Step 2: Convert to fraction form
    2,546.55/3,821.67 = 903.11/x
  3. Step 3: Cross multiply
    2,546.55x = 3,821.67 × 903.11
  4. Step 4: Simplify right side
    2,546.55x = 3,451,369.29
  5. Step 5: Solve for x
    x = 3,451,369.29/2,546.55
  6. Step 6: Final answer
    x = 1,355.31

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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.