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Finding the Fourth Proportional to 3,145.25, 4,717.75 and 805.23

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Solution

The fourth proportional to 3,145.25, 4,717.75 and 805.23 is: 1,207.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.25 : 4,717.75 = 805.23 : x
  2. Step 2: Convert to fraction form
    3,145.25/4,717.75 = 805.23/x
  3. Step 3: Cross multiply
    3,145.25x = 4,717.75 × 805.23
  4. Step 4: Simplify right side
    3,145.25x = 3,798,873.83
  5. Step 5: Solve for x
    x = 3,798,873.83/3,145.25
  6. Step 6: Final answer
    x = 1,207.81

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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.