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Finding the Fourth Proportional to 2,145.54, 3,218.72 and 1,453.80

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Solution

The fourth proportional to 2,145.54, 3,218.72 and 1,453.80 is: 2,180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.54 : 3,218.72 = 1,453.80 : x
  2. Step 2: Convert to fraction form
    2,145.54/3,218.72 = 1,453.80/x
  3. Step 3: Cross multiply
    2,145.54x = 3,218.72 × 1,453.80
  4. Step 4: Simplify right side
    2,145.54x = 4,679,375.14
  5. Step 5: Solve for x
    x = 4,679,375.14/2,145.54
  6. Step 6: Final answer
    x = 2,180.98

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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.