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Finding the Fourth Proportional to 1,960.37, 2,938.76 and 849.09

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Solution

The fourth proportional to 1,960.37, 2,938.76 and 849.09 is: 1,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.37 : 2,938.76 = 849.09 : x
  2. Step 2: Convert to fraction form
    1,960.37/2,938.76 = 849.09/x
  3. Step 3: Cross multiply
    1,960.37x = 2,938.76 × 849.09
  4. Step 4: Simplify right side
    1,960.37x = 2,495,281.69
  5. Step 5: Solve for x
    x = 2,495,281.69/1,960.37
  6. Step 6: Final answer
    x = 1,272.86

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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.