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Finding the Fourth Proportional to 2,663, 3,674.36 and 1,614.86

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Solution

The fourth proportional to 2,663, 3,674.36 and 1,614.86 is: 2,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663 : 3,674.36 = 1,614.86 : x
  2. Step 2: Convert to fraction form
    2,663/3,674.36 = 1,614.86/x
  3. Step 3: Cross multiply
    2,663x = 3,674.36 × 1,614.86
  4. Step 4: Simplify right side
    2,663x = 5,933,576.99
  5. Step 5: Solve for x
    x = 5,933,576.99/2,663
  6. Step 6: Final answer
    x = 2,228.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.