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Finding the Fourth Proportional to 2,134.04, 3,201.02 and 552.75

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Solution

The fourth proportional to 2,134.04, 3,201.02 and 552.75 is: 829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.04 : 3,201.02 = 552.75 : x
  2. Step 2: Convert to fraction form
    2,134.04/3,201.02 = 552.75/x
  3. Step 3: Cross multiply
    2,134.04x = 3,201.02 × 552.75
  4. Step 4: Simplify right side
    2,134.04x = 1,769,361.04
  5. Step 5: Solve for x
    x = 1,769,361.04/2,134.04
  6. Step 6: Final answer
    x = 829.12

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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.