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Finding the Fourth Proportional to 1,692.35, 2,537.56 and 717.95

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Solution

The fourth proportional to 1,692.35, 2,537.56 and 717.95 is: 1,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.35 : 2,537.56 = 717.95 : x
  2. Step 2: Convert to fraction form
    1,692.35/2,537.56 = 717.95/x
  3. Step 3: Cross multiply
    1,692.35x = 2,537.56 × 717.95
  4. Step 4: Simplify right side
    1,692.35x = 1,821,841.20
  5. Step 5: Solve for x
    x = 1,821,841.20/1,692.35
  6. Step 6: Final answer
    x = 1,076.52

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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.