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Finding the Fourth Proportional to 2,164.18, 3,242.91 and 1,731.22

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Solution

The fourth proportional to 2,164.18, 3,242.91 and 1,731.22 is: 2,594.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.18 : 3,242.91 = 1,731.22 : x
  2. Step 2: Convert to fraction form
    2,164.18/3,242.91 = 1,731.22/x
  3. Step 3: Cross multiply
    2,164.18x = 3,242.91 × 1,731.22
  4. Step 4: Simplify right side
    2,164.18x = 5,614,190.65
  5. Step 5: Solve for x
    x = 5,614,190.65/2,164.18
  6. Step 6: Final answer
    x = 2,594.14

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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.