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Finding the Fourth Proportional to 3,255.39, 4,884.09 and 946.89

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Solution

The fourth proportional to 3,255.39, 4,884.09 and 946.89 is: 1,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.39 : 4,884.09 = 946.89 : x
  2. Step 2: Convert to fraction form
    3,255.39/4,884.09 = 946.89/x
  3. Step 3: Cross multiply
    3,255.39x = 4,884.09 × 946.89
  4. Step 4: Simplify right side
    3,255.39x = 4,624,695.98
  5. Step 5: Solve for x
    x = 4,624,695.98/3,255.39
  6. Step 6: Final answer
    x = 1,420.63

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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.