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Finding the Fourth Proportional to 1,692.22, 2,534.73 and 961.42

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Solution

The fourth proportional to 1,692.22, 2,534.73 and 961.42 is: 1,440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.22 : 2,534.73 = 961.42 : x
  2. Step 2: Convert to fraction form
    1,692.22/2,534.73 = 961.42/x
  3. Step 3: Cross multiply
    1,692.22x = 2,534.73 × 961.42
  4. Step 4: Simplify right side
    1,692.22x = 2,436,940.12
  5. Step 5: Solve for x
    x = 2,436,940.12/1,692.22
  6. Step 6: Final answer
    x = 1,440.08

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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.