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Finding the Fourth Proportional to 2,546.85, 3,817.63 and 1,311.51

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Solution

The fourth proportional to 2,546.85, 3,817.63 and 1,311.51 is: 1,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.85 : 3,817.63 = 1,311.51 : x
  2. Step 2: Convert to fraction form
    2,546.85/3,817.63 = 1,311.51/x
  3. Step 3: Cross multiply
    2,546.85x = 3,817.63 × 1,311.51
  4. Step 4: Simplify right side
    2,546.85x = 5,006,859.92
  5. Step 5: Solve for x
    x = 5,006,859.92/2,546.85
  6. Step 6: Final answer
    x = 1,965.90

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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.