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Finding the Fourth Proportional to 3,008.31, 4,512.89 and 928.49

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Solution

The fourth proportional to 3,008.31, 4,512.89 and 928.49 is: 1,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,008.31 : 4,512.89 = 928.49 : x
  2. Step 2: Convert to fraction form
    3,008.31/4,512.89 = 928.49/x
  3. Step 3: Cross multiply
    3,008.31x = 4,512.89 × 928.49
  4. Step 4: Simplify right side
    3,008.31x = 4,190,152.99
  5. Step 5: Solve for x
    x = 4,190,152.99/3,008.31
  6. Step 6: Final answer
    x = 1,392.86

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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.