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Finding the Fourth Proportional to 1,456.43, 2,182.21 and 1,022.81

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Solution

The fourth proportional to 1,456.43, 2,182.21 and 1,022.81 is: 1,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.43 : 2,182.21 = 1,022.81 : x
  2. Step 2: Convert to fraction form
    1,456.43/2,182.21 = 1,022.81/x
  3. Step 3: Cross multiply
    1,456.43x = 2,182.21 × 1,022.81
  4. Step 4: Simplify right side
    1,456.43x = 2,231,972.74
  5. Step 5: Solve for x
    x = 2,231,972.74/1,456.43
  6. Step 6: Final answer
    x = 1,532.50

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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.