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Finding the Fourth Proportional to 2,906.31, 4,357.23 and 1,444.33

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Solution

The fourth proportional to 2,906.31, 4,357.23 and 1,444.33 is: 2,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.31 : 4,357.23 = 1,444.33 : x
  2. Step 2: Convert to fraction form
    2,906.31/4,357.23 = 1,444.33/x
  3. Step 3: Cross multiply
    2,906.31x = 4,357.23 × 1,444.33
  4. Step 4: Simplify right side
    2,906.31x = 6,293,278.01
  5. Step 5: Solve for x
    x = 6,293,278.01/2,906.31
  6. Step 6: Final answer
    x = 2,165.38

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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.