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Finding the Fourth Proportional to 3,008.64, 4,512.38 and 928.33

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Solution

The fourth proportional to 3,008.64, 4,512.38 and 928.33 is: 1,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.64 : 4,512.38 = 928.33 : x
  2. Step 2: Convert to fraction form
    3,008.64/4,512.38 = 928.33/x
  3. Step 3: Cross multiply
    3,008.64x = 4,512.38 × 928.33
  4. Step 4: Simplify right side
    3,008.64x = 4,188,961.80
  5. Step 5: Solve for x
    x = 4,188,961.80/3,008.64
  6. Step 6: Final answer
    x = 1,392.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.