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Finding the Fourth Proportional to 1,692.57, 2,538.63 and 596.79

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Solution

The fourth proportional to 1,692.57, 2,538.63 and 596.79 is: 895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.57 : 2,538.63 = 596.79 : x
  2. Step 2: Convert to fraction form
    1,692.57/2,538.63 = 596.79/x
  3. Step 3: Cross multiply
    1,692.57x = 2,538.63 × 596.79
  4. Step 4: Simplify right side
    1,692.57x = 1,515,026.01
  5. Step 5: Solve for x
    x = 1,515,026.01/1,692.57
  6. Step 6: Final answer
    x = 895.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.