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Finding the Fourth Proportional to 2,173.23, 3,259.83 and 692.61

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Solution

The fourth proportional to 2,173.23, 3,259.83 and 692.61 is: 1,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.23 : 3,259.83 = 692.61 : x
  2. Step 2: Convert to fraction form
    2,173.23/3,259.83 = 692.61/x
  3. Step 3: Cross multiply
    2,173.23x = 3,259.83 × 692.61
  4. Step 4: Simplify right side
    2,173.23x = 2,257,790.86
  5. Step 5: Solve for x
    x = 2,257,790.86/2,173.23
  6. Step 6: Final answer
    x = 1,038.91

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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.