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Finding the Fourth Proportional to 1,580.54, 2,181.24 and 881.96

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Solution

The fourth proportional to 1,580.54, 2,181.24 and 881.96 is: 1,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.54 : 2,181.24 = 881.96 : x
  2. Step 2: Convert to fraction form
    1,580.54/2,181.24 = 881.96/x
  3. Step 3: Cross multiply
    1,580.54x = 2,181.24 × 881.96
  4. Step 4: Simplify right side
    1,580.54x = 1,923,766.43
  5. Step 5: Solve for x
    x = 1,923,766.43/1,580.54
  6. Step 6: Final answer
    x = 1,217.16

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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.