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Finding the Fourth Proportional to 3,007.96, 4,512.50 and 927.57

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Solution

The fourth proportional to 3,007.96, 4,512.50 and 927.57 is: 1,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.96 : 4,512.50 = 927.57 : x
  2. Step 2: Convert to fraction form
    3,007.96/4,512.50 = 927.57/x
  3. Step 3: Cross multiply
    3,007.96x = 4,512.50 × 927.57
  4. Step 4: Simplify right side
    3,007.96x = 4,185,659.63
  5. Step 5: Solve for x
    x = 4,185,659.63/3,007.96
  6. Step 6: Final answer
    x = 1,391.53

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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.