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Finding the Fourth Proportional to 2,363.25, 3,262.10 and 1,431.75

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Solution

The fourth proportional to 2,363.25, 3,262.10 and 1,431.75 is: 1,976.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.25 : 3,262.10 = 1,431.75 : x
  2. Step 2: Convert to fraction form
    2,363.25/3,262.10 = 1,431.75/x
  3. Step 3: Cross multiply
    2,363.25x = 3,262.10 × 1,431.75
  4. Step 4: Simplify right side
    2,363.25x = 4,670,504.52
  5. Step 5: Solve for x
    x = 4,670,504.52/2,363.25
  6. Step 6: Final answer
    x = 1,976.31

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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.