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Finding the Fourth Proportional to 2,116.00, 3,174.31 and 655.27

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Solution

The fourth proportional to 2,116.00, 3,174.31 and 655.27 is: 983.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.00 : 3,174.31 = 655.27 : x
  2. Step 2: Convert to fraction form
    2,116.00/3,174.31 = 655.27/x
  3. Step 3: Cross multiply
    2,116.00x = 3,174.31 × 655.27
  4. Step 4: Simplify right side
    2,116.00x = 2,080,020.54
  5. Step 5: Solve for x
    x = 2,080,020.54/2,116.00
  6. Step 6: Final answer
    x = 983.00

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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.