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Finding the Fourth Proportional to 2,471.09, 3,707.89 and 1,084.07

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Solution

The fourth proportional to 2,471.09, 3,707.89 and 1,084.07 is: 1,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.09 : 3,707.89 = 1,084.07 : x
  2. Step 2: Convert to fraction form
    2,471.09/3,707.89 = 1,084.07/x
  3. Step 3: Cross multiply
    2,471.09x = 3,707.89 × 1,084.07
  4. Step 4: Simplify right side
    2,471.09x = 4,019,604.11
  5. Step 5: Solve for x
    x = 4,019,604.11/2,471.09
  6. Step 6: Final answer
    x = 1,626.65

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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.