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Finding the Fourth Proportional to 2,155.75, 3,235.25 and 1,728.07

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Solution

The fourth proportional to 2,155.75, 3,235.25 and 1,728.07 is: 2,593.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.75 : 3,235.25 = 1,728.07 : x
  2. Step 2: Convert to fraction form
    2,155.75/3,235.25 = 1,728.07/x
  3. Step 3: Cross multiply
    2,155.75x = 3,235.25 × 1,728.07
  4. Step 4: Simplify right side
    2,155.75x = 5,590,713.65
  5. Step 5: Solve for x
    x = 5,590,713.65/2,155.75
  6. Step 6: Final answer
    x = 2,593.40

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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.