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Finding the Fourth Proportional to 2,455.92, 3,684.78 and 995.22

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Solution

The fourth proportional to 2,455.92, 3,684.78 and 995.22 is: 1,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.92 : 3,684.78 = 995.22 : x
  2. Step 2: Convert to fraction form
    2,455.92/3,684.78 = 995.22/x
  3. Step 3: Cross multiply
    2,455.92x = 3,684.78 × 995.22
  4. Step 4: Simplify right side
    2,455.92x = 3,667,166.75
  5. Step 5: Solve for x
    x = 3,667,166.75/2,455.92
  6. Step 6: Final answer
    x = 1,493.19

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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.