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Finding the Fourth Proportional to 1,581.94, 2,182.96 and 952.56

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Solution

The fourth proportional to 1,581.94, 2,182.96 and 952.56 is: 1,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.94 : 2,182.96 = 952.56 : x
  2. Step 2: Convert to fraction form
    1,581.94/2,182.96 = 952.56/x
  3. Step 3: Cross multiply
    1,581.94x = 2,182.96 × 952.56
  4. Step 4: Simplify right side
    1,581.94x = 2,079,400.38
  5. Step 5: Solve for x
    x = 2,079,400.38/1,581.94
  6. Step 6: Final answer
    x = 1,314.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.