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Finding the Fourth Proportional to 1,581.54, 2,181.62 and 918.31

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Solution

The fourth proportional to 1,581.54, 2,181.62 and 918.31 is: 1,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.54 : 2,181.62 = 918.31 : x
  2. Step 2: Convert to fraction form
    1,581.54/2,181.62 = 918.31/x
  3. Step 3: Cross multiply
    1,581.54x = 2,181.62 × 918.31
  4. Step 4: Simplify right side
    1,581.54x = 2,003,387.96
  5. Step 5: Solve for x
    x = 2,003,387.96/1,581.54
  6. Step 6: Final answer
    x = 1,266.73

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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.