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Finding the Fourth Proportional to 1,546.88, 2,134.69 and 925.88

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Solution

The fourth proportional to 1,546.88, 2,134.69 and 925.88 is: 1,277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.88 : 2,134.69 = 925.88 : x
  2. Step 2: Convert to fraction form
    1,546.88/2,134.69 = 925.88/x
  3. Step 3: Cross multiply
    1,546.88x = 2,134.69 × 925.88
  4. Step 4: Simplify right side
    1,546.88x = 1,976,453.79
  5. Step 5: Solve for x
    x = 1,976,453.79/1,546.88
  6. Step 6: Final answer
    x = 1,277.71

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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.