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Finding the Fourth Proportional to 2,730.92, 4,096.36 and 882.20

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Solution

The fourth proportional to 2,730.92, 4,096.36 and 882.20 is: 1,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.92 : 4,096.36 = 882.20 : x
  2. Step 2: Convert to fraction form
    2,730.92/4,096.36 = 882.20/x
  3. Step 3: Cross multiply
    2,730.92x = 4,096.36 × 882.20
  4. Step 4: Simplify right side
    2,730.92x = 3,613,808.79
  5. Step 5: Solve for x
    x = 3,613,808.79/2,730.92
  6. Step 6: Final answer
    x = 1,323.29

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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.