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Finding the Fourth Proportional to 2,157.75, 3,238.25 and 1,730.07

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Solution

The fourth proportional to 2,157.75, 3,238.25 and 1,730.07 is: 2,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.75 : 3,238.25 = 1,730.07 : x
  2. Step 2: Convert to fraction form
    2,157.75/3,238.25 = 1,730.07/x
  3. Step 3: Cross multiply
    2,157.75x = 3,238.25 × 1,730.07
  4. Step 4: Simplify right side
    2,157.75x = 5,602,399.18
  5. Step 5: Solve for x
    x = 5,602,399.18/2,157.75
  6. Step 6: Final answer
    x = 2,596.41

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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.