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Finding the Fourth Proportional to 1,581.82, 2,373.21 and 657.81

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Solution

The fourth proportional to 1,581.82, 2,373.21 and 657.81 is: 986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.82 : 2,373.21 = 657.81 : x
  2. Step 2: Convert to fraction form
    1,581.82/2,373.21 = 657.81/x
  3. Step 3: Cross multiply
    1,581.82x = 2,373.21 × 657.81
  4. Step 4: Simplify right side
    1,581.82x = 1,561,121.27
  5. Step 5: Solve for x
    x = 1,561,121.27/1,581.82
  6. Step 6: Final answer
    x = 986.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.