Home / 1,446.12-2,164.93-896.54

Finding the Fourth Proportional to 1,446.12, 2,164.93 and 896.54

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Solution

The fourth proportional to 1,446.12, 2,164.93 and 896.54 is: 1,342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.12 : 2,164.93 = 896.54 : x
  2. Step 2: Convert to fraction form
    1,446.12/2,164.93 = 896.54/x
  3. Step 3: Cross multiply
    1,446.12x = 2,164.93 × 896.54
  4. Step 4: Simplify right side
    1,446.12x = 1,940,933.28
  5. Step 5: Solve for x
    x = 1,940,933.28/1,446.12
  6. Step 6: Final answer
    x = 1,342.17

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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.