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Finding the Fourth Proportional to 2,842.57, 3,923.49 and 1,723.56

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Solution

The fourth proportional to 2,842.57, 3,923.49 and 1,723.56 is: 2,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.57 : 3,923.49 = 1,723.56 : x
  2. Step 2: Convert to fraction form
    2,842.57/3,923.49 = 1,723.56/x
  3. Step 3: Cross multiply
    2,842.57x = 3,923.49 × 1,723.56
  4. Step 4: Simplify right side
    2,842.57x = 6,762,370.42
  5. Step 5: Solve for x
    x = 6,762,370.42/2,842.57
  6. Step 6: Final answer
    x = 2,378.96

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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.