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Finding the Fourth Proportional to 3,471.84, 4,791.42 and 2,074.86

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Solution

The fourth proportional to 3,471.84, 4,791.42 and 2,074.86 is: 2,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.84 : 4,791.42 = 2,074.86 : x
  2. Step 2: Convert to fraction form
    3,471.84/4,791.42 = 2,074.86/x
  3. Step 3: Cross multiply
    3,471.84x = 4,791.42 × 2,074.86
  4. Step 4: Simplify right side
    3,471.84x = 9,941,525.70
  5. Step 5: Solve for x
    x = 9,941,525.70/3,471.84
  6. Step 6: Final answer
    x = 2,863.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.