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Finding the Fourth Proportional to 2,674.31, 4,013.90 and 1,857.83

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Solution

The fourth proportional to 2,674.31, 4,013.90 and 1,857.83 is: 2,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.31 : 4,013.90 = 1,857.83 : x
  2. Step 2: Convert to fraction form
    2,674.31/4,013.90 = 1,857.83/x
  3. Step 3: Cross multiply
    2,674.31x = 4,013.90 × 1,857.83
  4. Step 4: Simplify right side
    2,674.31x = 7,457,134.55
  5. Step 5: Solve for x
    x = 7,457,134.55/2,674.31
  6. Step 6: Final answer
    x = 2,788.43

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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.