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Finding the Fourth Proportional to 2,814.71, 3,884.23 and 1,555.68

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Solution

The fourth proportional to 2,814.71, 3,884.23 and 1,555.68 is: 2,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.71 : 3,884.23 = 1,555.68 : x
  2. Step 2: Convert to fraction form
    2,814.71/3,884.23 = 1,555.68/x
  3. Step 3: Cross multiply
    2,814.71x = 3,884.23 × 1,555.68
  4. Step 4: Simplify right side
    2,814.71x = 6,042,620.87
  5. Step 5: Solve for x
    x = 6,042,620.87/2,814.71
  6. Step 6: Final answer
    x = 2,146.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.