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Finding the Fourth Proportional to 3,145.82, 4,718.73 and 1,196.96

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Solution

The fourth proportional to 3,145.82, 4,718.73 and 1,196.96 is: 1,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.82 : 4,718.73 = 1,196.96 : x
  2. Step 2: Convert to fraction form
    3,145.82/4,718.73 = 1,196.96/x
  3. Step 3: Cross multiply
    3,145.82x = 4,718.73 × 1,196.96
  4. Step 4: Simplify right side
    3,145.82x = 5,648,131.06
  5. Step 5: Solve for x
    x = 5,648,131.06/3,145.82
  6. Step 6: Final answer
    x = 1,795.44

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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.