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Finding the Fourth Proportional to 2,531.87, 3,797.53 and 682.87

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Solution

The fourth proportional to 2,531.87, 3,797.53 and 682.87 is: 1,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.87 : 3,797.53 = 682.87 : x
  2. Step 2: Convert to fraction form
    2,531.87/3,797.53 = 682.87/x
  3. Step 3: Cross multiply
    2,531.87x = 3,797.53 × 682.87
  4. Step 4: Simplify right side
    2,531.87x = 2,593,210.67
  5. Step 5: Solve for x
    x = 2,593,210.67/2,531.87
  6. Step 6: Final answer
    x = 1,024.23

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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.