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Finding the Fourth Proportional to 3,096.56, 4,273.46 and 1,699.31

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Solution

The fourth proportional to 3,096.56, 4,273.46 and 1,699.31 is: 2,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.56 : 4,273.46 = 1,699.31 : x
  2. Step 2: Convert to fraction form
    3,096.56/4,273.46 = 1,699.31/x
  3. Step 3: Cross multiply
    3,096.56x = 4,273.46 × 1,699.31
  4. Step 4: Simplify right side
    3,096.56x = 7,261,941.87
  5. Step 5: Solve for x
    x = 7,261,941.87/3,096.56
  6. Step 6: Final answer
    x = 2,345.16

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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.