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Finding the Fourth Proportional to 3,076.33, 4,615.12 and 996.85

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Solution

The fourth proportional to 3,076.33, 4,615.12 and 996.85 is: 1,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.33 : 4,615.12 = 996.85 : x
  2. Step 2: Convert to fraction form
    3,076.33/4,615.12 = 996.85/x
  3. Step 3: Cross multiply
    3,076.33x = 4,615.12 × 996.85
  4. Step 4: Simplify right side
    3,076.33x = 4,600,582.37
  5. Step 5: Solve for x
    x = 4,600,582.37/3,076.33
  6. Step 6: Final answer
    x = 1,495.48

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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.