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Finding the Fourth Proportional to 1,581.79, 2,183.49 and 1,057.63

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Solution

The fourth proportional to 1,581.79, 2,183.49 and 1,057.63 is: 1,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.79 : 2,183.49 = 1,057.63 : x
  2. Step 2: Convert to fraction form
    1,581.79/2,183.49 = 1,057.63/x
  3. Step 3: Cross multiply
    1,581.79x = 2,183.49 × 1,057.63
  4. Step 4: Simplify right side
    1,581.79x = 2,309,324.53
  5. Step 5: Solve for x
    x = 2,309,324.53/1,581.79
  6. Step 6: Final answer
    x = 1,459.94

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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.