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Finding the Fourth Proportional to 3,204.56, 4,809.12 and 1,256.77

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Solution

The fourth proportional to 3,204.56, 4,809.12 and 1,256.77 is: 1,886.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.56 : 4,809.12 = 1,256.77 : x
  2. Step 2: Convert to fraction form
    3,204.56/4,809.12 = 1,256.77/x
  3. Step 3: Cross multiply
    3,204.56x = 4,809.12 × 1,256.77
  4. Step 4: Simplify right side
    3,204.56x = 6,043,939.06
  5. Step 5: Solve for x
    x = 6,043,939.06/3,204.56
  6. Step 6: Final answer
    x = 1,886.04

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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.