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Finding the Fourth Proportional to 1,960.40, 2,938.48 and 727.79

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Solution

The fourth proportional to 1,960.40, 2,938.48 and 727.79 is: 1,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.40 : 2,938.48 = 727.79 : x
  2. Step 2: Convert to fraction form
    1,960.40/2,938.48 = 727.79/x
  3. Step 3: Cross multiply
    1,960.40x = 2,938.48 × 727.79
  4. Step 4: Simplify right side
    1,960.40x = 2,138,579.85
  5. Step 5: Solve for x
    x = 2,138,579.85/1,960.40
  6. Step 6: Final answer
    x = 1,090.89

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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.