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Finding the Fourth Proportional to 1,845.78, 2,768.82 and 547.32

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Solution

The fourth proportional to 1,845.78, 2,768.82 and 547.32 is: 821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.78 : 2,768.82 = 547.32 : x
  2. Step 2: Convert to fraction form
    1,845.78/2,768.82 = 547.32/x
  3. Step 3: Cross multiply
    1,845.78x = 2,768.82 × 547.32
  4. Step 4: Simplify right side
    1,845.78x = 1,515,430.56
  5. Step 5: Solve for x
    x = 1,515,430.56/1,845.78
  6. Step 6: Final answer
    x = 821.02

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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.