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Finding the Fourth Proportional to 2,943.66, 4,415.19 and 995.82

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Solution

The fourth proportional to 2,943.66, 4,415.19 and 995.82 is: 1,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.66 : 4,415.19 = 995.82 : x
  2. Step 2: Convert to fraction form
    2,943.66/4,415.19 = 995.82/x
  3. Step 3: Cross multiply
    2,943.66x = 4,415.19 × 995.82
  4. Step 4: Simplify right side
    2,943.66x = 4,396,734.51
  5. Step 5: Solve for x
    x = 4,396,734.51/2,943.66
  6. Step 6: Final answer
    x = 1,493.63

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1.5x scale

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.