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Finding the Fourth Proportional to 2,089.20, 3,133.80 and 550.20

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Solution

The fourth proportional to 2,089.20, 3,133.80 and 550.20 is: 825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.20 : 3,133.80 = 550.20 : x
  2. Step 2: Convert to fraction form
    2,089.20/3,133.80 = 550.20/x
  3. Step 3: Cross multiply
    2,089.20x = 3,133.80 × 550.20
  4. Step 4: Simplify right side
    2,089.20x = 1,724,216.76
  5. Step 5: Solve for x
    x = 1,724,216.76/2,089.20
  6. Step 6: Final answer
    x = 825.30

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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.