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Finding the Fourth Proportional to 2,709.72, 4,064.31 and 1,247.94

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Solution

The fourth proportional to 2,709.72, 4,064.31 and 1,247.94 is: 1,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.72 : 4,064.31 = 1,247.94 : x
  2. Step 2: Convert to fraction form
    2,709.72/4,064.31 = 1,247.94/x
  3. Step 3: Cross multiply
    2,709.72x = 4,064.31 × 1,247.94
  4. Step 4: Simplify right side
    2,709.72x = 5,072,015.02
  5. Step 5: Solve for x
    x = 5,072,015.02/2,709.72
  6. Step 6: Final answer
    x = 1,871.79

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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.