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Finding the Fourth Proportional to 2,707.16, 3,728.03 and 2,409.08

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Solution

The fourth proportional to 2,707.16, 3,728.03 and 2,409.08 is: 3,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.16 : 3,728.03 = 2,409.08 : x
  2. Step 2: Convert to fraction form
    2,707.16/3,728.03 = 2,409.08/x
  3. Step 3: Cross multiply
    2,707.16x = 3,728.03 × 2,409.08
  4. Step 4: Simplify right side
    2,707.16x = 8,981,091.83
  5. Step 5: Solve for x
    x = 8,981,091.83/2,707.16
  6. Step 6: Final answer
    x = 3,317.54

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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.