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Finding the Fourth Proportional to 2,022.97, 2,792.06 and 1,930.63

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Solution

The fourth proportional to 2,022.97, 2,792.06 and 1,930.63 is: 2,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022.97 : 2,792.06 = 1,930.63 : x
  2. Step 2: Convert to fraction form
    2,022.97/2,792.06 = 1,930.63/x
  3. Step 3: Cross multiply
    2,022.97x = 2,792.06 × 1,930.63
  4. Step 4: Simplify right side
    2,022.97x = 5,390,434.80
  5. Step 5: Solve for x
    x = 5,390,434.80/2,022.97
  6. Step 6: Final answer
    x = 2,664.61

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