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Finding the Fourth Proportional to 2,174.80, 3,257.40 and 1,147.60

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Solution

The fourth proportional to 2,174.80, 3,257.40 and 1,147.60 is: 1,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.80 : 3,257.40 = 1,147.60 : x
  2. Step 2: Convert to fraction form
    2,174.80/3,257.40 = 1,147.60/x
  3. Step 3: Cross multiply
    2,174.80x = 3,257.40 × 1,147.60
  4. Step 4: Simplify right side
    2,174.80x = 3,738,192.24
  5. Step 5: Solve for x
    x = 3,738,192.24/2,174.80
  6. Step 6: Final answer
    x = 1,718.87

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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.