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Finding the Fourth Proportional to 3,061.56, 4,224.96 and 1,664.31

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Solution

The fourth proportional to 3,061.56, 4,224.96 and 1,664.31 is: 2,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.56 : 4,224.96 = 1,664.31 : x
  2. Step 2: Convert to fraction form
    3,061.56/4,224.96 = 1,664.31/x
  3. Step 3: Cross multiply
    3,061.56x = 4,224.96 × 1,664.31
  4. Step 4: Simplify right side
    3,061.56x = 7,031,659.02
  5. Step 5: Solve for x
    x = 7,031,659.02/3,061.56
  6. Step 6: Final answer
    x = 2,296.75

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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.