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Finding the Fourth Proportional to 2,532.25, 3,475.92 and 2,246.24

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Solution

The fourth proportional to 2,532.25, 3,475.92 and 2,246.24 is: 3,083.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.25 : 3,475.92 = 2,246.24 : x
  2. Step 2: Convert to fraction form
    2,532.25/3,475.92 = 2,246.24/x
  3. Step 3: Cross multiply
    2,532.25x = 3,475.92 × 2,246.24
  4. Step 4: Simplify right side
    2,532.25x = 7,807,735.47
  5. Step 5: Solve for x
    x = 7,807,735.47/2,532.25
  6. Step 6: Final answer
    x = 3,083.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.