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Finding the Fourth Proportional to 3,145.14, 4,713.72 and 1,294.20

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Solution

The fourth proportional to 3,145.14, 4,713.72 and 1,294.20 is: 1,939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.14 : 4,713.72 = 1,294.20 : x
  2. Step 2: Convert to fraction form
    3,145.14/4,713.72 = 1,294.20/x
  3. Step 3: Cross multiply
    3,145.14x = 4,713.72 × 1,294.20
  4. Step 4: Simplify right side
    3,145.14x = 6,100,496.42
  5. Step 5: Solve for x
    x = 6,100,496.42/3,145.14
  6. Step 6: Final answer
    x = 1,939.66

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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.