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Finding the Fourth Proportional to 2,705.31, 3,733.33 and 1,463.31

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Solution

The fourth proportional to 2,705.31, 3,733.33 and 1,463.31 is: 2,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.31 : 3,733.33 = 1,463.31 : x
  2. Step 2: Convert to fraction form
    2,705.31/3,733.33 = 1,463.31/x
  3. Step 3: Cross multiply
    2,705.31x = 3,733.33 × 1,463.31
  4. Step 4: Simplify right side
    2,705.31x = 5,463,019.12
  5. Step 5: Solve for x
    x = 5,463,019.12/2,705.31
  6. Step 6: Final answer
    x = 2,019.37

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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.