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Finding the Fourth Proportional to 1,838.16, 2,757.26 and 451.49

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Solution

The fourth proportional to 1,838.16, 2,757.26 and 451.49 is: 677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.16 : 2,757.26 = 451.49 : x
  2. Step 2: Convert to fraction form
    1,838.16/2,757.26 = 451.49/x
  3. Step 3: Cross multiply
    1,838.16x = 2,757.26 × 451.49
  4. Step 4: Simplify right side
    1,838.16x = 1,244,875.32
  5. Step 5: Solve for x
    x = 1,244,875.32/1,838.16
  6. Step 6: Final answer
    x = 677.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.