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Finding the Fourth Proportional to 1,692.23, 2,534.76 and 813.42

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Solution

The fourth proportional to 1,692.23, 2,534.76 and 813.42 is: 1,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.23 : 2,534.76 = 813.42 : x
  2. Step 2: Convert to fraction form
    1,692.23/2,534.76 = 813.42/x
  3. Step 3: Cross multiply
    1,692.23x = 2,534.76 × 813.42
  4. Step 4: Simplify right side
    1,692.23x = 2,061,824.48
  5. Step 5: Solve for x
    x = 2,061,824.48/1,692.23
  6. Step 6: Final answer
    x = 1,218.41

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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.