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Finding the Fourth Proportional to 2,546.91, 3,820.77 and 903.22

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Solution

The fourth proportional to 2,546.91, 3,820.77 and 903.22 is: 1,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.91 : 3,820.77 = 903.22 : x
  2. Step 2: Convert to fraction form
    2,546.91/3,820.77 = 903.22/x
  3. Step 3: Cross multiply
    2,546.91x = 3,820.77 × 903.22
  4. Step 4: Simplify right side
    2,546.91x = 3,450,986.33
  5. Step 5: Solve for x
    x = 3,450,986.33/2,546.91
  6. Step 6: Final answer
    x = 1,354.97

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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.