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Finding the Fourth Proportional to 2,471.41, 3,707.30 and 716.43

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Solution

The fourth proportional to 2,471.41, 3,707.30 and 716.43 is: 1,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.41 : 3,707.30 = 716.43 : x
  2. Step 2: Convert to fraction form
    2,471.41/3,707.30 = 716.43/x
  3. Step 3: Cross multiply
    2,471.41x = 3,707.30 × 716.43
  4. Step 4: Simplify right side
    2,471.41x = 2,656,020.94
  5. Step 5: Solve for x
    x = 2,656,020.94/2,471.41
  6. Step 6: Final answer
    x = 1,074.70

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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.