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Finding the Fourth Proportional to 2,731.24, 4,096.27 and 882.51

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Solution

The fourth proportional to 2,731.24, 4,096.27 and 882.51 is: 1,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.24 : 4,096.27 = 882.51 : x
  2. Step 2: Convert to fraction form
    2,731.24/4,096.27 = 882.51/x
  3. Step 3: Cross multiply
    2,731.24x = 4,096.27 × 882.51
  4. Step 4: Simplify right side
    2,731.24x = 3,614,999.24
  5. Step 5: Solve for x
    x = 3,614,999.24/2,731.24
  6. Step 6: Final answer
    x = 1,323.57

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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.