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Finding the Fourth Proportional to 2,965.41, 4,451.76 and 2,847.96

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Solution

The fourth proportional to 2,965.41, 4,451.76 and 2,847.96 is: 4,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.41 : 4,451.76 = 2,847.96 : x
  2. Step 2: Convert to fraction form
    2,965.41/4,451.76 = 2,847.96/x
  3. Step 3: Cross multiply
    2,965.41x = 4,451.76 × 2,847.96
  4. Step 4: Simplify right side
    2,965.41x = 12,678,434.41
  5. Step 5: Solve for x
    x = 12,678,434.41/2,965.41
  6. Step 6: Final answer
    x = 4,275.44

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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.