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Finding the Fourth Proportional to 1,478.22, 2,217.81 and 1,260.49

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Solution

The fourth proportional to 1,478.22, 2,217.81 and 1,260.49 is: 1,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.22 : 2,217.81 = 1,260.49 : x
  2. Step 2: Convert to fraction form
    1,478.22/2,217.81 = 1,260.49/x
  3. Step 3: Cross multiply
    1,478.22x = 2,217.81 × 1,260.49
  4. Step 4: Simplify right side
    1,478.22x = 2,795,516.24
  5. Step 5: Solve for x
    x = 2,795,516.24/1,478.22
  6. Step 6: Final answer
    x = 1,891.14

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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.