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Finding the Fourth Proportional to 2,548.14, 3,822.26 and 903.54

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Solution

The fourth proportional to 2,548.14, 3,822.26 and 903.54 is: 1,355.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.14 : 3,822.26 = 903.54 : x
  2. Step 2: Convert to fraction form
    2,548.14/3,822.26 = 903.54/x
  3. Step 3: Cross multiply
    2,548.14x = 3,822.26 × 903.54
  4. Step 4: Simplify right side
    2,548.14x = 3,453,560.28
  5. Step 5: Solve for x
    x = 3,453,560.28/2,548.14
  6. Step 6: Final answer
    x = 1,355.33

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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.