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Finding the Fourth Proportional to 1,692.63, 2,537.42 and 651.97

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Solution

The fourth proportional to 1,692.63, 2,537.42 and 651.97 is: 977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.63 : 2,537.42 = 651.97 : x
  2. Step 2: Convert to fraction form
    1,692.63/2,537.42 = 651.97/x
  3. Step 3: Cross multiply
    1,692.63x = 2,537.42 × 651.97
  4. Step 4: Simplify right side
    1,692.63x = 1,654,321.63
  5. Step 5: Solve for x
    x = 1,654,321.63/1,692.63
  6. Step 6: Final answer
    x = 977.37

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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.