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Finding the Fourth Proportional to 2,697.86, 4,047.32 and 849.01

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Solution

The fourth proportional to 2,697.86, 4,047.32 and 849.01 is: 1,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.86 : 4,047.32 = 849.01 : x
  2. Step 2: Convert to fraction form
    2,697.86/4,047.32 = 849.01/x
  3. Step 3: Cross multiply
    2,697.86x = 4,047.32 × 849.01
  4. Step 4: Simplify right side
    2,697.86x = 3,436,215.15
  5. Step 5: Solve for x
    x = 3,436,215.15/2,697.86
  6. Step 6: Final answer
    x = 1,273.68

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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.