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Finding the Fourth Proportional to 4,933.40, 7,400.82 and 1,814.90

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Solution

The fourth proportional to 4,933.40, 7,400.82 and 1,814.90 is: 2,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.40 : 7,400.82 = 1,814.90 : x
  2. Step 2: Convert to fraction form
    4,933.40/7,400.82 = 1,814.90/x
  3. Step 3: Cross multiply
    4,933.40x = 7,400.82 × 1,814.90
  4. Step 4: Simplify right side
    4,933.40x = 13,431,748.22
  5. Step 5: Solve for x
    x = 13,431,748.22/4,933.40
  6. Step 6: Final answer
    x = 2,722.61

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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.