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Finding the Fourth Proportional to 1,921.18, 2,882.19 and 622.78

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Solution

The fourth proportional to 1,921.18, 2,882.19 and 622.78 is: 934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.18 : 2,882.19 = 622.78 : x
  2. Step 2: Convert to fraction form
    1,921.18/2,882.19 = 622.78/x
  3. Step 3: Cross multiply
    1,921.18x = 2,882.19 × 622.78
  4. Step 4: Simplify right side
    1,921.18x = 1,794,970.29
  5. Step 5: Solve for x
    x = 1,794,970.29/1,921.18
  6. Step 6: Final answer
    x = 934.31

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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.