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Finding the Fourth Proportional to 2,733.64, 3,772.38 and 1,614.45

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Solution

The fourth proportional to 2,733.64, 3,772.38 and 1,614.45 is: 2,227.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.64 : 3,772.38 = 1,614.45 : x
  2. Step 2: Convert to fraction form
    2,733.64/3,772.38 = 1,614.45/x
  3. Step 3: Cross multiply
    2,733.64x = 3,772.38 × 1,614.45
  4. Step 4: Simplify right side
    2,733.64x = 6,090,318.89
  5. Step 5: Solve for x
    x = 6,090,318.89/2,733.64
  6. Step 6: Final answer
    x = 2,227.92

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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.