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Finding the Fourth Proportional to 2,218.32, 3,327.36 and 920.64

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Solution

The fourth proportional to 2,218.32, 3,327.36 and 920.64 is: 1,380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.32 : 3,327.36 = 920.64 : x
  2. Step 2: Convert to fraction form
    2,218.32/3,327.36 = 920.64/x
  3. Step 3: Cross multiply
    2,218.32x = 3,327.36 × 920.64
  4. Step 4: Simplify right side
    2,218.32x = 3,063,300.71
  5. Step 5: Solve for x
    x = 3,063,300.71/2,218.32
  6. Step 6: Final answer
    x = 1,380.91

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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.