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Finding the Fourth Proportional to 2,171.95, 3,257.72 and 611.93

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Solution

The fourth proportional to 2,171.95, 3,257.72 and 611.93 is: 917.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.95 : 3,257.72 = 611.93 : x
  2. Step 2: Convert to fraction form
    2,171.95/3,257.72 = 611.93/x
  3. Step 3: Cross multiply
    2,171.95x = 3,257.72 × 611.93
  4. Step 4: Simplify right side
    2,171.95x = 1,993,493.54
  5. Step 5: Solve for x
    x = 1,993,493.54/2,171.95
  6. Step 6: Final answer
    x = 917.84

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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.