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Finding the Fourth Proportional to 2,010.75, 3,015.66 and 550.01

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Solution

The fourth proportional to 2,010.75, 3,015.66 and 550.01 is: 824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.75 : 3,015.66 = 550.01 : x
  2. Step 2: Convert to fraction form
    2,010.75/3,015.66 = 550.01/x
  3. Step 3: Cross multiply
    2,010.75x = 3,015.66 × 550.01
  4. Step 4: Simplify right side
    2,010.75x = 1,658,650.70
  5. Step 5: Solve for x
    x = 1,658,650.70/2,010.75
  6. Step 6: Final answer
    x = 824.89

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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.