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Finding the Fourth Proportional to 2,172.04, 3,257.84 and 611.92

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Solution

The fourth proportional to 2,172.04, 3,257.84 and 611.92 is: 917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.04 : 3,257.84 = 611.92 : x
  2. Step 2: Convert to fraction form
    2,172.04/3,257.84 = 611.92/x
  3. Step 3: Cross multiply
    2,172.04x = 3,257.84 × 611.92
  4. Step 4: Simplify right side
    2,172.04x = 1,993,537.45
  5. Step 5: Solve for x
    x = 1,993,537.45/2,172.04
  6. Step 6: Final answer
    x = 917.82

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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.