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Finding the Fourth Proportional to 1,824.78, 2,736.84 and 654.54

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Solution

The fourth proportional to 1,824.78, 2,736.84 and 654.54 is: 981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.78 : 2,736.84 = 654.54 : x
  2. Step 2: Convert to fraction form
    1,824.78/2,736.84 = 654.54/x
  3. Step 3: Cross multiply
    1,824.78x = 2,736.84 × 654.54
  4. Step 4: Simplify right side
    1,824.78x = 1,791,371.25
  5. Step 5: Solve for x
    x = 1,791,371.25/1,824.78
  6. Step 6: Final answer
    x = 981.69

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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.