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Finding the Fourth Proportional to 2,523.71, 3,481 and 2,314.58

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Solution

The fourth proportional to 2,523.71, 3,481 and 2,314.58 is: 3,192.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.71 : 3,481 = 2,314.58 : x
  2. Step 2: Convert to fraction form
    2,523.71/3,481 = 2,314.58/x
  3. Step 3: Cross multiply
    2,523.71x = 3,481 × 2,314.58
  4. Step 4: Simplify right side
    2,523.71x = 8,057,052.98
  5. Step 5: Solve for x
    x = 8,057,052.98/2,523.71
  6. Step 6: Final answer
    x = 3,192.54

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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.