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Finding the Fourth Proportional to 2,942.01, 4,412.97 and 995.58

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Solution

The fourth proportional to 2,942.01, 4,412.97 and 995.58 is: 1,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.01 : 4,412.97 = 995.58 : x
  2. Step 2: Convert to fraction form
    2,942.01/4,412.97 = 995.58/x
  3. Step 3: Cross multiply
    2,942.01x = 4,412.97 × 995.58
  4. Step 4: Simplify right side
    2,942.01x = 4,393,464.67
  5. Step 5: Solve for x
    x = 4,393,464.67/2,942.01
  6. Step 6: Final answer
    x = 1,493.35

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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.