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Finding the Fourth Proportional to 1,946.92, 2,920.88 and 1,022.22

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Solution

The fourth proportional to 1,946.92, 2,920.88 and 1,022.22 is: 1,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.92 : 2,920.88 = 1,022.22 : x
  2. Step 2: Convert to fraction form
    1,946.92/2,920.88 = 1,022.22/x
  3. Step 3: Cross multiply
    1,946.92x = 2,920.88 × 1,022.22
  4. Step 4: Simplify right side
    1,946.92x = 2,985,781.95
  5. Step 5: Solve for x
    x = 2,985,781.95/1,946.92
  6. Step 6: Final answer
    x = 1,533.59

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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.