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Finding the Fourth Proportional to 2,945.03, 4,414.79 and 995.87

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Solution

The fourth proportional to 2,945.03, 4,414.79 and 995.87 is: 1,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.03 : 4,414.79 = 995.87 : x
  2. Step 2: Convert to fraction form
    2,945.03/4,414.79 = 995.87/x
  3. Step 3: Cross multiply
    2,945.03x = 4,414.79 × 995.87
  4. Step 4: Simplify right side
    2,945.03x = 4,396,537.33
  5. Step 5: Solve for x
    x = 4,396,537.33/2,945.03
  6. Step 6: Final answer
    x = 1,492.87

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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.