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Finding the Fourth Proportional to 2,775.69, 3,825.90 and 1,967.13

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Solution

The fourth proportional to 2,775.69, 3,825.90 and 1,967.13 is: 2,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.69 : 3,825.90 = 1,967.13 : x
  2. Step 2: Convert to fraction form
    2,775.69/3,825.90 = 1,967.13/x
  3. Step 3: Cross multiply
    2,775.69x = 3,825.90 × 1,967.13
  4. Step 4: Simplify right side
    2,775.69x = 7,526,042.67
  5. Step 5: Solve for x
    x = 7,526,042.67/2,775.69
  6. Step 6: Final answer
    x = 2,711.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.