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Finding the Fourth Proportional to 2,089.25, 3,133.88 and 550.25

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Solution

The fourth proportional to 2,089.25, 3,133.88 and 550.25 is: 825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.25 : 3,133.88 = 550.25 : x
  2. Step 2: Convert to fraction form
    2,089.25/3,133.88 = 550.25/x
  3. Step 3: Cross multiply
    2,089.25x = 3,133.88 × 550.25
  4. Step 4: Simplify right side
    2,089.25x = 1,724,414.72
  5. Step 5: Solve for x
    x = 1,724,414.72/2,089.25
  6. Step 6: Final answer
    x = 825.38

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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.