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Finding the Fourth Proportional to 1,692.72, 2,334.96 and 1,063.44

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Solution

The fourth proportional to 1,692.72, 2,334.96 and 1,063.44 is: 1,466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.72 : 2,334.96 = 1,063.44 : x
  2. Step 2: Convert to fraction form
    1,692.72/2,334.96 = 1,063.44/x
  3. Step 3: Cross multiply
    1,692.72x = 2,334.96 × 1,063.44
  4. Step 4: Simplify right side
    1,692.72x = 2,483,089.86
  5. Step 5: Solve for x
    x = 2,483,089.86/1,692.72
  6. Step 6: Final answer
    x = 1,466.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.