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Finding the Fourth Proportional to 3,046.80, 4,571.40 and 1,814.78

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Solution

The fourth proportional to 3,046.80, 4,571.40 and 1,814.78 is: 2,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.80 : 4,571.40 = 1,814.78 : x
  2. Step 2: Convert to fraction form
    3,046.80/4,571.40 = 1,814.78/x
  3. Step 3: Cross multiply
    3,046.80x = 4,571.40 × 1,814.78
  4. Step 4: Simplify right side
    3,046.80x = 8,296,085.29
  5. Step 5: Solve for x
    x = 8,296,085.29/3,046.80
  6. Step 6: Final answer
    x = 2,722.88

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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.