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Finding the Fourth Proportional to 1,692.55, 2,334.21 and 1,063.14

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Solution

The fourth proportional to 1,692.55, 2,334.21 and 1,063.14 is: 1,466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.55 : 2,334.21 = 1,063.14 : x
  2. Step 2: Convert to fraction form
    1,692.55/2,334.21 = 1,063.14/x
  3. Step 3: Cross multiply
    1,692.55x = 2,334.21 × 1,063.14
  4. Step 4: Simplify right side
    1,692.55x = 2,481,592.02
  5. Step 5: Solve for x
    x = 2,481,592.02/1,692.55
  6. Step 6: Final answer
    x = 1,466.19

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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.