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Finding the Fourth Proportional to 2,943.18, 4,415.41 and 995.34

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Solution

The fourth proportional to 2,943.18, 4,415.41 and 995.34 is: 1,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.18 : 4,415.41 = 995.34 : x
  2. Step 2: Convert to fraction form
    2,943.18/4,415.41 = 995.34/x
  3. Step 3: Cross multiply
    2,943.18x = 4,415.41 × 995.34
  4. Step 4: Simplify right side
    2,943.18x = 4,394,829.21
  5. Step 5: Solve for x
    x = 4,394,829.21/2,943.18
  6. Step 6: Final answer
    x = 1,493.22

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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.