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Finding the Fourth Proportional to 1,546.26, 2,133.84 and 957.82

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Solution

The fourth proportional to 1,546.26, 2,133.84 and 957.82 is: 1,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.26 : 2,133.84 = 957.82 : x
  2. Step 2: Convert to fraction form
    1,546.26/2,133.84 = 957.82/x
  3. Step 3: Cross multiply
    1,546.26x = 2,133.84 × 957.82
  4. Step 4: Simplify right side
    1,546.26x = 2,043,834.63
  5. Step 5: Solve for x
    x = 2,043,834.63/1,546.26
  6. Step 6: Final answer
    x = 1,321.79

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1.5x scale

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.