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Finding the Fourth Proportional to 2,111.99, 3,167.16 and 725.06

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Solution

The fourth proportional to 2,111.99, 3,167.16 and 725.06 is: 1,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.99 : 3,167.16 = 725.06 : x
  2. Step 2: Convert to fraction form
    2,111.99/3,167.16 = 725.06/x
  3. Step 3: Cross multiply
    2,111.99x = 3,167.16 × 725.06
  4. Step 4: Simplify right side
    2,111.99x = 2,296,381.03
  5. Step 5: Solve for x
    x = 2,296,381.03/2,111.99
  6. Step 6: Final answer
    x = 1,087.31

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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.