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Finding the Fourth Proportional to 1,692.07, 2,538.20 and 960.23

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Solution

The fourth proportional to 1,692.07, 2,538.20 and 960.23 is: 1,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.07 : 2,538.20 = 960.23 : x
  2. Step 2: Convert to fraction form
    1,692.07/2,538.20 = 960.23/x
  3. Step 3: Cross multiply
    1,692.07x = 2,538.20 × 960.23
  4. Step 4: Simplify right side
    1,692.07x = 2,437,255.79
  5. Step 5: Solve for x
    x = 2,437,255.79/1,692.07
  6. Step 6: Final answer
    x = 1,440.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.