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Finding the Fourth Proportional to 1,692.34, 2,538.59 and 596.82

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Solution

The fourth proportional to 1,692.34, 2,538.59 and 596.82 is: 895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.34 : 2,538.59 = 596.82 : x
  2. Step 2: Convert to fraction form
    1,692.34/2,538.59 = 596.82/x
  3. Step 3: Cross multiply
    1,692.34x = 2,538.59 × 596.82
  4. Step 4: Simplify right side
    1,692.34x = 1,515,076.90
  5. Step 5: Solve for x
    x = 1,515,076.90/1,692.34
  6. Step 6: Final answer
    x = 895.25

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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.