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Finding the Fourth Proportional to 2,943.23, 4,415.51 and 995.38

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Solution

The fourth proportional to 2,943.23, 4,415.51 and 995.38 is: 1,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.23 : 4,415.51 = 995.38 : x
  2. Step 2: Convert to fraction form
    2,943.23/4,415.51 = 995.38/x
  3. Step 3: Cross multiply
    2,943.23x = 4,415.51 × 995.38
  4. Step 4: Simplify right side
    2,943.23x = 4,395,110.34
  5. Step 5: Solve for x
    x = 4,395,110.34/2,943.23
  6. Step 6: Final answer
    x = 1,493.29

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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.