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Finding the Fourth Proportional to 2,174.31, 3,259.13 and 1,076.31

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Solution

The fourth proportional to 2,174.31, 3,259.13 and 1,076.31 is: 1,613.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.31 : 3,259.13 = 1,076.31 : x
  2. Step 2: Convert to fraction form
    2,174.31/3,259.13 = 1,076.31/x
  3. Step 3: Cross multiply
    2,174.31x = 3,259.13 × 1,076.31
  4. Step 4: Simplify right side
    2,174.31x = 3,507,828.83
  5. Step 5: Solve for x
    x = 3,507,828.83/2,174.31
  6. Step 6: Final answer
    x = 1,613.31

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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.