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Finding the Fourth Proportional to 3,006.48, 4,512.48 and 1,546.68

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Solution

The fourth proportional to 3,006.48, 4,512.48 and 1,546.68 is: 2,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.48 : 4,512.48 = 1,546.68 : x
  2. Step 2: Convert to fraction form
    3,006.48/4,512.48 = 1,546.68/x
  3. Step 3: Cross multiply
    3,006.48x = 4,512.48 × 1,546.68
  4. Step 4: Simplify right side
    3,006.48x = 6,979,362.57
  5. Step 5: Solve for x
    x = 6,979,362.57/3,006.48
  6. Step 6: Final answer
    x = 2,321.44

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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.