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Finding the Fourth Proportional to 1,441, 2,162.46 and 792.28

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Solution

The fourth proportional to 1,441, 2,162.46 and 792.28 is: 1,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441 : 2,162.46 = 792.28 : x
  2. Step 2: Convert to fraction form
    1,441/2,162.46 = 792.28/x
  3. Step 3: Cross multiply
    1,441x = 2,162.46 × 792.28
  4. Step 4: Simplify right side
    1,441x = 1,713,273.81
  5. Step 5: Solve for x
    x = 1,713,273.81/1,441
  6. Step 6: Final answer
    x = 1,188.95

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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.