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Finding the Fourth Proportional to 2,114.22, 2,920.41 and 1,622.93

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Solution

The fourth proportional to 2,114.22, 2,920.41 and 1,622.93 is: 2,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.22 : 2,920.41 = 1,622.93 : x
  2. Step 2: Convert to fraction form
    2,114.22/2,920.41 = 1,622.93/x
  3. Step 3: Cross multiply
    2,114.22x = 2,920.41 × 1,622.93
  4. Step 4: Simplify right side
    2,114.22x = 4,739,625.06
  5. Step 5: Solve for x
    x = 4,739,625.06/2,114.22
  6. Step 6: Final answer
    x = 2,241.78

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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.