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Finding the Fourth Proportional to 2,845.46, 4,267.86 and 765.62

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Solution

The fourth proportional to 2,845.46, 4,267.86 and 765.62 is: 1,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.46 : 4,267.86 = 765.62 : x
  2. Step 2: Convert to fraction form
    2,845.46/4,267.86 = 765.62/x
  3. Step 3: Cross multiply
    2,845.46x = 4,267.86 × 765.62
  4. Step 4: Simplify right side
    2,845.46x = 3,267,558.97
  5. Step 5: Solve for x
    x = 3,267,558.97/2,845.46
  6. Step 6: Final answer
    x = 1,148.34

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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.