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Finding the Fourth Proportional to 3,147.94, 4,343.83 and 1,822.06

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Solution

The fourth proportional to 3,147.94, 4,343.83 and 1,822.06 is: 2,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.94 : 4,343.83 = 1,822.06 : x
  2. Step 2: Convert to fraction form
    3,147.94/4,343.83 = 1,822.06/x
  3. Step 3: Cross multiply
    3,147.94x = 4,343.83 × 1,822.06
  4. Step 4: Simplify right side
    3,147.94x = 7,914,718.89
  5. Step 5: Solve for x
    x = 7,914,718.89/3,147.94
  6. Step 6: Final answer
    x = 2,514.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.