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Finding the Fourth Proportional to 1,410.22, 2,114.56 and 422.90

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Solution

The fourth proportional to 1,410.22, 2,114.56 and 422.90 is: 634.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.22 : 2,114.56 = 422.90 : x
  2. Step 2: Convert to fraction form
    1,410.22/2,114.56 = 422.90/x
  3. Step 3: Cross multiply
    1,410.22x = 2,114.56 × 422.90
  4. Step 4: Simplify right side
    1,410.22x = 894,236.85
  5. Step 5: Solve for x
    x = 894,236.85/1,410.22
  6. Step 6: Final answer
    x = 634.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.