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Finding the Fourth Proportional to 3,228.48, 4,845.96 and 2,254.86

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Solution

The fourth proportional to 3,228.48, 4,845.96 and 2,254.86 is: 3,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.48 : 4,845.96 = 2,254.86 : x
  2. Step 2: Convert to fraction form
    3,228.48/4,845.96 = 2,254.86/x
  3. Step 3: Cross multiply
    3,228.48x = 4,845.96 × 2,254.86
  4. Step 4: Simplify right side
    3,228.48x = 10,926,961.37
  5. Step 5: Solve for x
    x = 10,926,961.37/3,228.48
  6. Step 6: Final answer
    x = 3,384.55

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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.