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Finding the Fourth Proportional to 2,697.86, 4,046.49 and 1,138.11

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Solution

The fourth proportional to 2,697.86, 4,046.49 and 1,138.11 is: 1,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.86 : 4,046.49 = 1,138.11 : x
  2. Step 2: Convert to fraction form
    2,697.86/4,046.49 = 1,138.11/x
  3. Step 3: Cross multiply
    2,697.86x = 4,046.49 × 1,138.11
  4. Step 4: Simplify right side
    2,697.86x = 4,605,335.56
  5. Step 5: Solve for x
    x = 4,605,335.56/2,697.86
  6. Step 6: Final answer
    x = 1,707.03

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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.