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Finding the Fourth Proportional to 2,458.44, 3,688.20 and 1,072.17

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Solution

The fourth proportional to 2,458.44, 3,688.20 and 1,072.17 is: 1,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.44 : 3,688.20 = 1,072.17 : x
  2. Step 2: Convert to fraction form
    2,458.44/3,688.20 = 1,072.17/x
  3. Step 3: Cross multiply
    2,458.44x = 3,688.20 × 1,072.17
  4. Step 4: Simplify right side
    2,458.44x = 3,954,377.39
  5. Step 5: Solve for x
    x = 3,954,377.39/2,458.44
  6. Step 6: Final answer
    x = 1,608.49

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Why These Related Problems?

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