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Finding the Fourth Proportional to 3,147.99, 4,343.79 and 1,822.02

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Solution

The fourth proportional to 3,147.99, 4,343.79 and 1,822.02 is: 2,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.99 : 4,343.79 = 1,822.02 : x
  2. Step 2: Convert to fraction form
    3,147.99/4,343.79 = 1,822.02/x
  3. Step 3: Cross multiply
    3,147.99x = 4,343.79 × 1,822.02
  4. Step 4: Simplify right side
    3,147.99x = 7,914,472.26
  5. Step 5: Solve for x
    x = 7,914,472.26/3,147.99
  6. Step 6: Final answer
    x = 2,514.14

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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.