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Finding the Fourth Proportional to 3,145.20, 4,717.80 and 805.20

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Solution

The fourth proportional to 3,145.20, 4,717.80 and 805.20 is: 1,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.20 : 4,717.80 = 805.20 : x
  2. Step 2: Convert to fraction form
    3,145.20/4,717.80 = 805.20/x
  3. Step 3: Cross multiply
    3,145.20x = 4,717.80 × 805.20
  4. Step 4: Simplify right side
    3,145.20x = 3,798,772.56
  5. Step 5: Solve for x
    x = 3,798,772.56/3,145.20
  6. Step 6: Final answer
    x = 1,207.80

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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.