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Finding the Fourth Proportional to 2,728.08, 4,095.90 and 1,412.78

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Solution

The fourth proportional to 2,728.08, 4,095.90 and 1,412.78 is: 2,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.08 : 4,095.90 = 1,412.78 : x
  2. Step 2: Convert to fraction form
    2,728.08/4,095.90 = 1,412.78/x
  3. Step 3: Cross multiply
    2,728.08x = 4,095.90 × 1,412.78
  4. Step 4: Simplify right side
    2,728.08x = 5,786,585.12
  5. Step 5: Solve for x
    x = 5,786,585.12/2,728.08
  6. Step 6: Final answer
    x = 2,121.12

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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.