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Finding the Fourth Proportional to 3,141.44, 4,713.69 and 1,293.11

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Solution

The fourth proportional to 3,141.44, 4,713.69 and 1,293.11 is: 1,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.44 : 4,713.69 = 1,293.11 : x
  2. Step 2: Convert to fraction form
    3,141.44/4,713.69 = 1,293.11/x
  3. Step 3: Cross multiply
    3,141.44x = 4,713.69 × 1,293.11
  4. Step 4: Simplify right side
    3,141.44x = 6,095,319.68
  5. Step 5: Solve for x
    x = 6,095,319.68/3,141.44
  6. Step 6: Final answer
    x = 1,940.29

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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.