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Finding the Fourth Proportional to 2,471.43, 3,707.62 and 806.02

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Solution

The fourth proportional to 2,471.43, 3,707.62 and 806.02 is: 1,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.43 : 3,707.62 = 806.02 : x
  2. Step 2: Convert to fraction form
    2,471.43/3,707.62 = 806.02/x
  3. Step 3: Cross multiply
    2,471.43x = 3,707.62 × 806.02
  4. Step 4: Simplify right side
    2,471.43x = 2,988,409.12
  5. Step 5: Solve for x
    x = 2,988,409.12/2,471.43
  6. Step 6: Final answer
    x = 1,209.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.