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Finding the Fourth Proportional to 2,546.40, 3,813.92 and 2,484.32

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Solution

The fourth proportional to 2,546.40, 3,813.92 and 2,484.32 is: 3,720.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.40 : 3,813.92 = 2,484.32 : x
  2. Step 2: Convert to fraction form
    2,546.40/3,813.92 = 2,484.32/x
  3. Step 3: Cross multiply
    2,546.40x = 3,813.92 × 2,484.32
  4. Step 4: Simplify right side
    2,546.40x = 9,474,997.73
  5. Step 5: Solve for x
    x = 9,474,997.73/2,546.40
  6. Step 6: Final answer
    x = 3,720.94

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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.