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Finding the Fourth Proportional to 1,968.30, 2,947.86 and 995.22

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Solution

The fourth proportional to 1,968.30, 2,947.86 and 995.22 is: 1,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.30 : 2,947.86 = 995.22 : x
  2. Step 2: Convert to fraction form
    1,968.30/2,947.86 = 995.22/x
  3. Step 3: Cross multiply
    1,968.30x = 2,947.86 × 995.22
  4. Step 4: Simplify right side
    1,968.30x = 2,933,769.23
  5. Step 5: Solve for x
    x = 2,933,769.23/1,968.30
  6. Step 6: Final answer
    x = 1,490.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.