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Finding the Fourth Proportional to 2,697.86, 4,046.31 and 943.10

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Solution

The fourth proportional to 2,697.86, 4,046.31 and 943.10 is: 1,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.86 : 4,046.31 = 943.10 : x
  2. Step 2: Convert to fraction form
    2,697.86/4,046.31 = 943.10/x
  3. Step 3: Cross multiply
    2,697.86x = 4,046.31 × 943.10
  4. Step 4: Simplify right side
    2,697.86x = 3,816,074.96
  5. Step 5: Solve for x
    x = 3,816,074.96/2,697.86
  6. Step 6: Final answer
    x = 1,414.48

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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.