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Finding the Fourth Proportional to 2,744.88, 3,785.40 and 2,546.16

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Solution

The fourth proportional to 2,744.88, 3,785.40 and 2,546.16 is: 3,511.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.88 : 3,785.40 = 2,546.16 : x
  2. Step 2: Convert to fraction form
    2,744.88/3,785.40 = 2,546.16/x
  3. Step 3: Cross multiply
    2,744.88x = 3,785.40 × 2,546.16
  4. Step 4: Simplify right side
    2,744.88x = 9,638,234.06
  5. Step 5: Solve for x
    x = 9,638,234.06/2,744.88
  6. Step 6: Final answer
    x = 3,511.35

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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.