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Finding the Fourth Proportional to 2,113.97, 2,920.07 and 1,622.68

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Solution

The fourth proportional to 2,113.97, 2,920.07 and 1,622.68 is: 2,241.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.97 : 2,920.07 = 1,622.68 : x
  2. Step 2: Convert to fraction form
    2,113.97/2,920.07 = 1,622.68/x
  3. Step 3: Cross multiply
    2,113.97x = 2,920.07 × 1,622.68
  4. Step 4: Simplify right side
    2,113.97x = 4,738,335.13
  5. Step 5: Solve for x
    x = 4,738,335.13/2,113.97
  6. Step 6: Final answer
    x = 2,241.44

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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.