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Finding the Fourth Proportional to 2,168.37, 3,253.48 and 687.71

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Solution

The fourth proportional to 2,168.37, 3,253.48 and 687.71 is: 1,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.37 : 3,253.48 = 687.71 : x
  2. Step 2: Convert to fraction form
    2,168.37/3,253.48 = 687.71/x
  3. Step 3: Cross multiply
    2,168.37x = 3,253.48 × 687.71
  4. Step 4: Simplify right side
    2,168.37x = 2,237,459.72
  5. Step 5: Solve for x
    x = 2,237,459.72/2,168.37
  6. Step 6: Final answer
    x = 1,031.86

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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.