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Finding the Fourth Proportional to 2,072.72, 2,861.12 and 1,412.98

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Solution

The fourth proportional to 2,072.72, 2,861.12 and 1,412.98 is: 1,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.72 : 2,861.12 = 1,412.98 : x
  2. Step 2: Convert to fraction form
    2,072.72/2,861.12 = 1,412.98/x
  3. Step 3: Cross multiply
    2,072.72x = 2,861.12 × 1,412.98
  4. Step 4: Simplify right side
    2,072.72x = 4,042,701.72
  5. Step 5: Solve for x
    x = 4,042,701.72/2,072.72
  6. Step 6: Final answer
    x = 1,950.43

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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.