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Finding the Fourth Proportional to 1,581.82, 2,182.90 and 883.18

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Solution

The fourth proportional to 1,581.82, 2,182.90 and 883.18 is: 1,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.82 : 2,182.90 = 883.18 : x
  2. Step 2: Convert to fraction form
    1,581.82/2,182.90 = 883.18/x
  3. Step 3: Cross multiply
    1,581.82x = 2,182.90 × 883.18
  4. Step 4: Simplify right side
    1,581.82x = 1,927,893.62
  5. Step 5: Solve for x
    x = 1,927,893.62/1,581.82
  6. Step 6: Final answer
    x = 1,218.78

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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.