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Finding the Fourth Proportional to 2,115.49, 3,172.56 and 882.60

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Solution

The fourth proportional to 2,115.49, 3,172.56 and 882.60 is: 1,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.49 : 3,172.56 = 882.60 : x
  2. Step 2: Convert to fraction form
    2,115.49/3,172.56 = 882.60/x
  3. Step 3: Cross multiply
    2,115.49x = 3,172.56 × 882.60
  4. Step 4: Simplify right side
    2,115.49x = 2,800,101.46
  5. Step 5: Solve for x
    x = 2,800,101.46/2,115.49
  6. Step 6: Final answer
    x = 1,323.62

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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.