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Finding the Fourth Proportional to 2,497.31, 3,444.98 and 1,906.82

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Solution

The fourth proportional to 2,497.31, 3,444.98 and 1,906.82 is: 2,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.31 : 3,444.98 = 1,906.82 : x
  2. Step 2: Convert to fraction form
    2,497.31/3,444.98 = 1,906.82/x
  3. Step 3: Cross multiply
    2,497.31x = 3,444.98 × 1,906.82
  4. Step 4: Simplify right side
    2,497.31x = 6,568,930.00
  5. Step 5: Solve for x
    x = 6,568,930.00/2,497.31
  6. Step 6: Final answer
    x = 2,630.41

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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.