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Finding the Fourth Proportional to 1,581.02, 2,181.71 and 882.44

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Solution

The fourth proportional to 1,581.02, 2,181.71 and 882.44 is: 1,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.02 : 2,181.71 = 882.44 : x
  2. Step 2: Convert to fraction form
    1,581.02/2,181.71 = 882.44/x
  3. Step 3: Cross multiply
    1,581.02x = 2,181.71 × 882.44
  4. Step 4: Simplify right side
    1,581.02x = 1,925,219.47
  5. Step 5: Solve for x
    x = 1,925,219.47/1,581.02
  6. Step 6: Final answer
    x = 1,217.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.