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Finding the Fourth Proportional to 2,012.44, 2,776.22 and 1,423.30

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Solution

The fourth proportional to 2,012.44, 2,776.22 and 1,423.30 is: 1,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.44 : 2,776.22 = 1,423.30 : x
  2. Step 2: Convert to fraction form
    2,012.44/2,776.22 = 1,423.30/x
  3. Step 3: Cross multiply
    2,012.44x = 2,776.22 × 1,423.30
  4. Step 4: Simplify right side
    2,012.44x = 3,951,385.21
  5. Step 5: Solve for x
    x = 3,951,385.21/2,012.44
  6. Step 6: Final answer
    x = 1,963.48

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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.