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Finding the Fourth Proportional to 2,546.56, 3,813.36 and 1,678.24

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Solution

The fourth proportional to 2,546.56, 3,813.36 and 1,678.24 is: 2,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.56 : 3,813.36 = 1,678.24 : x
  2. Step 2: Convert to fraction form
    2,546.56/3,813.36 = 1,678.24/x
  3. Step 3: Cross multiply
    2,546.56x = 3,813.36 × 1,678.24
  4. Step 4: Simplify right side
    2,546.56x = 6,399,733.29
  5. Step 5: Solve for x
    x = 6,399,733.29/2,546.56
  6. Step 6: Final answer
    x = 2,513.09

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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.