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Finding the Fourth Proportional to 3,128.82, 4,693.86 and 937.68

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Solution

The fourth proportional to 3,128.82, 4,693.86 and 937.68 is: 1,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.82 : 4,693.86 = 937.68 : x
  2. Step 2: Convert to fraction form
    3,128.82/4,693.86 = 937.68/x
  3. Step 3: Cross multiply
    3,128.82x = 4,693.86 × 937.68
  4. Step 4: Simplify right side
    3,128.82x = 4,401,338.64
  5. Step 5: Solve for x
    x = 4,401,338.64/3,128.82
  6. Step 6: Final answer
    x = 1,406.71

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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.