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Finding the Fourth Proportional to 3,228.96, 4,843.68 and 920.64

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Solution

The fourth proportional to 3,228.96, 4,843.68 and 920.64 is: 1,381.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.96 : 4,843.68 = 920.64 : x
  2. Step 2: Convert to fraction form
    3,228.96/4,843.68 = 920.64/x
  3. Step 3: Cross multiply
    3,228.96x = 4,843.68 × 920.64
  4. Step 4: Simplify right side
    3,228.96x = 4,459,285.56
  5. Step 5: Solve for x
    x = 4,459,285.56/3,228.96
  6. Step 6: Final answer
    x = 1,381.03

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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.