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Finding the Fourth Proportional to 2,115.86, 3,174.31 and 729.22

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Solution

The fourth proportional to 2,115.86, 3,174.31 and 729.22 is: 1,094.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.86 : 3,174.31 = 729.22 : x
  2. Step 2: Convert to fraction form
    2,115.86/3,174.31 = 729.22/x
  3. Step 3: Cross multiply
    2,115.86x = 3,174.31 × 729.22
  4. Step 4: Simplify right side
    2,115.86x = 2,314,770.34
  5. Step 5: Solve for x
    x = 2,314,770.34/2,115.86
  6. Step 6: Final answer
    x = 1,094.01

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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.