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Finding the Fourth Proportional to 2,731.77, 4,096.60 and 882.38

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Solution

The fourth proportional to 2,731.77, 4,096.60 and 882.38 is: 1,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.77 : 4,096.60 = 882.38 : x
  2. Step 2: Convert to fraction form
    2,731.77/4,096.60 = 882.38/x
  3. Step 3: Cross multiply
    2,731.77x = 4,096.60 × 882.38
  4. Step 4: Simplify right side
    2,731.77x = 3,614,765.94
  5. Step 5: Solve for x
    x = 3,614,765.94/2,731.77
  6. Step 6: Final answer
    x = 1,323.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.