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Finding the Fourth Proportional to 2,092.86, 3,139.38 and 938.64

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Solution

The fourth proportional to 2,092.86, 3,139.38 and 938.64 is: 1,408.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.86 : 3,139.38 = 938.64 : x
  2. Step 2: Convert to fraction form
    2,092.86/3,139.38 = 938.64/x
  3. Step 3: Cross multiply
    2,092.86x = 3,139.38 × 938.64
  4. Step 4: Simplify right side
    2,092.86x = 2,946,747.64
  5. Step 5: Solve for x
    x = 2,946,747.64/2,092.86
  6. Step 6: Final answer
    x = 1,408.00

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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.