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Finding the Fourth Proportional to 3,145.14, 4,719.08 and 1,197.90

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Solution

The fourth proportional to 3,145.14, 4,719.08 and 1,197.90 is: 1,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.14 : 4,719.08 = 1,197.90 : x
  2. Step 2: Convert to fraction form
    3,145.14/4,719.08 = 1,197.90/x
  3. Step 3: Cross multiply
    3,145.14x = 4,719.08 × 1,197.90
  4. Step 4: Simplify right side
    3,145.14x = 5,652,979.94
  5. Step 5: Solve for x
    x = 5,652,979.94/3,145.14
  6. Step 6: Final answer
    x = 1,797.37

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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.