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Finding the Fourth Proportional to 2,944.63, 4,417.36 and 996.31

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Solution

The fourth proportional to 2,944.63, 4,417.36 and 996.31 is: 1,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.63 : 4,417.36 = 996.31 : x
  2. Step 2: Convert to fraction form
    2,944.63/4,417.36 = 996.31/x
  3. Step 3: Cross multiply
    2,944.63x = 4,417.36 × 996.31
  4. Step 4: Simplify right side
    2,944.63x = 4,401,059.94
  5. Step 5: Solve for x
    x = 4,401,059.94/2,944.63
  6. Step 6: Final answer
    x = 1,494.61

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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.