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Finding the Fourth Proportional to 1,581.94, 2,183.07 and 883.32

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Solution

The fourth proportional to 1,581.94, 2,183.07 and 883.32 is: 1,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.94 : 2,183.07 = 883.32 : x
  2. Step 2: Convert to fraction form
    1,581.94/2,183.07 = 883.32/x
  3. Step 3: Cross multiply
    1,581.94x = 2,183.07 × 883.32
  4. Step 4: Simplify right side
    1,581.94x = 1,928,349.39
  5. Step 5: Solve for x
    x = 1,928,349.39/1,581.94
  6. Step 6: Final answer
    x = 1,218.98

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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.