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Finding the Fourth Proportional to 1,920.30, 2,880.09 and 622.02

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Solution

The fourth proportional to 1,920.30, 2,880.09 and 622.02 is: 932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.30 : 2,880.09 = 622.02 : x
  2. Step 2: Convert to fraction form
    1,920.30/2,880.09 = 622.02/x
  3. Step 3: Cross multiply
    1,920.30x = 2,880.09 × 622.02
  4. Step 4: Simplify right side
    1,920.30x = 1,791,473.58
  5. Step 5: Solve for x
    x = 1,791,473.58/1,920.30
  6. Step 6: Final answer
    x = 932.91

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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.