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Finding the Fourth Proportional to 4,829.75, 7,241.07 and 1,540.94

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Solution

The fourth proportional to 4,829.75, 7,241.07 and 1,540.94 is: 2,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.75 : 7,241.07 = 1,540.94 : x
  2. Step 2: Convert to fraction form
    4,829.75/7,241.07 = 1,540.94/x
  3. Step 3: Cross multiply
    4,829.75x = 7,241.07 × 1,540.94
  4. Step 4: Simplify right side
    4,829.75x = 11,158,078.29
  5. Step 5: Solve for x
    x = 11,158,078.29/4,829.75
  6. Step 6: Final answer
    x = 2,310.28

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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.