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Finding the Fourth Proportional to 1,692.09, 2,538.41 and 596.30

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Solution

The fourth proportional to 1,692.09, 2,538.41 and 596.30 is: 894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.09 : 2,538.41 = 596.30 : x
  2. Step 2: Convert to fraction form
    1,692.09/2,538.41 = 596.30/x
  3. Step 3: Cross multiply
    1,692.09x = 2,538.41 × 596.30
  4. Step 4: Simplify right side
    1,692.09x = 1,513,638.21
  5. Step 5: Solve for x
    x = 1,513,638.21/1,692.09
  6. Step 6: Final answer
    x = 894.54

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1.5x scale

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.