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Finding the Fourth Proportional to 1,692.10, 2,538.72 and 596.62

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Solution

The fourth proportional to 1,692.10, 2,538.72 and 596.62 is: 895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.10 : 2,538.72 = 596.62 : x
  2. Step 2: Convert to fraction form
    1,692.10/2,538.72 = 596.62/x
  3. Step 3: Cross multiply
    1,692.10x = 2,538.72 × 596.62
  4. Step 4: Simplify right side
    1,692.10x = 1,514,651.13
  5. Step 5: Solve for x
    x = 1,514,651.13/1,692.10
  6. Step 6: Final answer
    x = 895.13

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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.