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Finding the Fourth Proportional to 1,263.43, 1,892.19 and 1,219.64

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Solution

The fourth proportional to 1,263.43, 1,892.19 and 1,219.64 is: 1,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.43 : 1,892.19 = 1,219.64 : x
  2. Step 2: Convert to fraction form
    1,263.43/1,892.19 = 1,219.64/x
  3. Step 3: Cross multiply
    1,263.43x = 1,892.19 × 1,219.64
  4. Step 4: Simplify right side
    1,263.43x = 2,307,790.61
  5. Step 5: Solve for x
    x = 2,307,790.61/1,263.43
  6. Step 6: Final answer
    x = 1,826.61

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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.