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Finding the Fourth Proportional to 1,797.56, 2,692.54 and 824.48

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Solution

The fourth proportional to 1,797.56, 2,692.54 and 824.48 is: 1,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.56 : 2,692.54 = 824.48 : x
  2. Step 2: Convert to fraction form
    1,797.56/2,692.54 = 824.48/x
  3. Step 3: Cross multiply
    1,797.56x = 2,692.54 × 824.48
  4. Step 4: Simplify right side
    1,797.56x = 2,219,945.38
  5. Step 5: Solve for x
    x = 2,219,945.38/1,797.56
  6. Step 6: Final answer
    x = 1,234.98

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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.