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Finding the Fourth Proportional to 2,679.88, 4,016.58 and 946.48

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Solution

The fourth proportional to 2,679.88, 4,016.58 and 946.48 is: 1,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.88 : 4,016.58 = 946.48 : x
  2. Step 2: Convert to fraction form
    2,679.88/4,016.58 = 946.48/x
  3. Step 3: Cross multiply
    2,679.88x = 4,016.58 × 946.48
  4. Step 4: Simplify right side
    2,679.88x = 3,801,612.64
  5. Step 5: Solve for x
    x = 3,801,612.64/2,679.88
  6. Step 6: Final answer
    x = 1,418.58

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1.5x scale

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.